Mental Math Speed Review With Answers IMPORTANT!!! Click here every day to LOG-IN and VERIFY TIME spent studying MMSR or you will NOT receive credit.. 11/28/2018

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-2- 4 11/28/2018

-6 11/28/2018

-2 - 6 11/28/2018

-8 11/28/2018

-3 - 6 11/28/2018

-9 11/28/2018

- 4 + - 9 11/28/2018

-13 11/28/2018

-8 + - 2 11/28/2018

-10 11/28/2018

-2(6) 11/28/2018

-12 11/28/2018

-2 + -6 11/28/2018

-8 11/28/2018

-5(-3) 11/28/2018

15 11/28/2018

-5 - 3 11/28/2018

-8 11/28/2018

-5 + 3 11/28/2018

-2 11/28/2018

-5 – 15 - 20 11/28/2018

-40 11/28/2018

-10 + -10 -10 11/28/2018

-30 11/28/2018

50 – 25 – 25 11/28/2018

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30 – 20 – 5 11/28/2018

5 11/28/2018

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12 11/28/2018

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2 11/28/2018

122 11/28/2018

144 11/28/2018

121 11/28/2018

12 11/28/2018

120 11/28/2018

1 11/28/2018

2 + (3 + 4) = (2 + 3) + 4 Name the Property Commutative Associative Distributive Identity Inverse 11/28/2018

Name the Property 2 + (3 + 4) = (2 + 3) + 4 Assoc. 11/28/2018

5 + (-5) = 0 Name the Property Commutative Associative Distributive Identity Inverse 11/28/2018

Name the Property 5 + (-5) = 0 Inverse 11/28/2018

Name the Property Commutative Associative Distributive Identity Inverse 11/28/2018

Inverse 11/28/2018

2 + (3 + 4) = 2 + (4 + 3) Name the Property Commutative Associative Distributive Identity Inverse 11/28/2018

Name the Property 2 + (3 + 4) = 2 + (4 + 3) Commut. 11/28/2018

1(p) = p Name the Property Commutative Associative Distributive Identity Inverse 11/28/2018

Name the Property 1(p) = p Identity 11/28/2018

2(3a + 4b) = 6a + 8b Name the Property Commutative Associative Distributive Identity Inverse 11/28/2018

Name the Property 2(3a + 4b) = 6a + 8b Distribut. 11/28/2018

a + (b + c) = (a + b) + c Name the Property Commutative Associative Distributive Identity Inverse 11/28/2018

Name the Property a + (b + c) = (a + b) + c Assoc. 11/28/2018

(a + b) + c = c + (a + b) Name the Property Commutative Associative Distributive Identity Inverse 11/28/2018

Name the Property (a + b) + c = c + (a + b) Commut 11/28/2018

5(a + 10) = 5a + 50 Name the Property Commutative Associative Distributive Identity Inverse 11/28/2018

Name the Property 5(a + 10) = 5a + 50 Distrib. 11/28/2018

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7 11/28/2018

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1 11/28/2018

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What is the area in the model above? AREA = L x W What is the area in the model above? What is the perimeter in the model above? 11/28/2018

Area = (4 x 5) = 20 units2 Perimeter = (4 + 4 + 5 + 5) = 18 units 11/28/2018

What is the area? What is the perimeter? 12 6 10 11/28/2018

Area = (6x10)÷2 = 30units2 Perimeter = 28 units = 6+12+10 12 6 10 = 6+12+10 11/28/2018

What is the area? What is the perimeter? 5 3 4 11/28/2018

Area = 3 x 4 ÷2 = 6 units2 Perimeter = 12 units = 3 + 4 + 5 11/28/2018

This is a square. Each side measures 6 inches. What is the area? What is the perimeter? 11/28/2018

Area = 36 in2 Perimeter = 24 in 6 inches This is a square. = 6 + 6 + 6 + 6 11/28/2018

This is a rectangle. What is the area? What is the perimeter? 3 inches 11/28/2018

Area = 3 x 2 = 6 in2 Perimeter = 10 in 3+3+2+2 3 inches 2 inches 11/28/2018

Which of these numbers is irrational? 16 7.777… -64 15 11/28/2018

Which of these numbers is irrational? 16 7.777… -64 15 11/28/2018

Which of these numbers is irrational? 1.2666… -35 11/28/2018

Which of these numbers is irrational? 1.2666… -35 11/28/2018

100 Which of these numbers is irrational? 0.875 -5 11/28/2018

100 Which of these numbers is irrational? 0.875 -5 11/28/2018

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1 11/28/2018

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Step 1: To solve this equation, what do you do first? Step 2: What do you next? 11/28/2018

Subtract 8 from both sides. Next, multiply both sides by -5. 11/28/2018

Step 1: To solve this equation, what do you do first? Step 2: What do you next? 11/28/2018

Next, multiply both sides by 3. Add 5 to both sides. Next, multiply both sides by 3. 11/28/2018

Step 1: To solve this equation, what do you do first? 11/28/2018

Multiply both sides by the reciprocal ( ). 11/28/2018

Step 1: To solve this equation, what do you do first? 11/28/2018

Multiply both sides by the reciprocal ( ). 11/28/2018

Step 1: To solve this equation, what do you do first? Step 2: What do you do next? 11/28/2018

First, subtract 4 from each side. Next, multiply both sides by the reciprocal ( ). 11/28/2018

= 11/28/2018

5 11/28/2018

= 11/28/2018

49 11/28/2018

= 11/28/2018

= 1 11/28/2018

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Remember: 11/28/2018

= 11/28/2018

= = 103 = 1000 11/28/2018

Is between _____ and _____ 11/28/2018

Is between _____ and _____ 11/28/2018

Can also be written as ____ 11/28/2018

“ONE over M to the 4th Power” Can also be written as ____ “ONE over M to the 4th Power” 11/28/2018

X-5 Can also be written as ____ 11/28/2018

“ONE over x to the 5th Power” Can also be written as ____ “ONE over x to the 5th Power” 11/28/2018

y-2 Can also be written as ____ 11/28/2018

“ONE over Y to the 2nd Power or “ONE over Y squared” Can also be written as ____ “ONE over Y to the 2nd Power or “ONE over Y squared” 11/28/2018

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19 11/28/2018

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19 11/28/2018

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What is the slope of the given line? How do you get the slope? What is the slope of the given line? 11/28/2018

What is the slope of the given line? 3 over 4, 3/4 How do you get the slope? Look at the points. Write a fraction that shows: The change in Y over the change in X. What is the slope of the given line? 3 over 4, 3/4 11/28/2018

What is the slope of the given line? How do you get the slope? What is the slope of the given line? 11/28/2018

How do you get the slope? Look at the points. Write a fraction that shows: The change in Y over the change in X. What is the slope of the given line? 1 over 2, 1/2 11/28/2018

What is the slope of the given line? How do you get the slope? What is the slope of the given line? Does it matter which points you use? 11/28/2018

How do you get the slope? Look at the points. Write a fraction that shows: The change in Y over the change in X. What is the slope of the given line? *DOWN* 3 over 3, 3/3 = -1 Does it matter which points you use? NO, you get the same slope (after you simplify the fraction) no matter which points you use! 11/28/2018

How do you find the slope of the line that passes through any two points? For example, how do you find the slope of a line that passes through (3,5) and (-1,-2)? 11/28/2018

You plot the two points on a graph, and write a fraction that shows: The change in Y over the change in X 11/28/2018

How do you find the slope of the line that passes through any two points? For example, how do you find the slope of a line that passes through (-3, 16) and (-4,-2)? 11/28/2018

You plot the two points on a graph, and write a fraction that shows: The change in Y over the change in X 11/28/2018

A square has an area of 49 feet2. How long is each side? 11/28/2018

7 feet A square has an area of 49 feet2. How long is each side? 11/28/2018

A square has an area of 64 square feet. How long is each side? 11/28/2018

8 feet A square has an area of 64 square feet. How long is each side? 11/28/2018

A square has an area of 169 square feet. How long is each side? 11/28/2018

A square has an area of 169 square feet. How long is each side? 11/28/2018

A square has an area of 30 square feet. About how long is each side? 11/28/2018

A square has an area of 30 square feet. About how long is each side? Between 5 and 6 feet 11/28/2018

A square has an area of 55 square feet. About how long is each side? 11/28/2018

Between 7 and 8 feet 11/28/2018

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What is the slope? y = -4x + 7 11/28/2018

What is the slope? -4 y = -4x + 7 11/28/2018

What is the slope? y = -x + 7 11/28/2018

What is the slope? -1 y = -1x + 7 11/28/2018

What is the slope? y = 5 11/28/2018

What is the slope? y = 5 y = 0x + 5 11/28/2018

How do you find the length of x? 11/28/2018

How do you find the length of x? a2 + b2 = c2 11/28/2018

How do you find the length of x? 11/28/2018

How do you find the length of x? c2 - a2 = b2 11/28/2018

1. A right triangle has legs that are 6 cm and 8 cm long 1. A right triangle has legs that are 6 cm and 8 cm long. How do you find the length of the hypotenuse? 2. In the problem above, if you found the length of the hypotenuse but it was way too big (it doesn’t make sense) you probably forgot to do the last calculation. What is the last calculation in an a2 + b2 = c2 problem? 11/28/2018

a2 + b2 = c2 both sides! Take the square root of 1. A right triangle has legs that are 6 cm and 8 cm long. How do you find the length of the hypotenuse? 2. In the problem above, if you found the length of the hypotenuse but it was way too big (it doesn’t make sense) you probably forgot to do the last calculation. What is the last calculation in an a2 + b2 = c2 problem? Take the square root of both sides! a2 + b2 = c2 11/28/2018

How do you find the length of x? 5 m 6 m 11/28/2018

c2 - a2 = b2 52 - 32 = b2 How do you find the length of x? 5 m 6 m 3 Notice 3 not 6 5 m 3 6 m 11/28/2018

When would you use formula ? 11/28/2018

When would you use formula ? To find the hypotenuse of a right triangle, or to find c. 11/28/2018

Distribute 3(a + b + c) 11/28/2018

Distribute 3(a + b + c) 3a + 3b + 3c 11/28/2018

Distribute 4(a -x) 11/28/2018

Distribute 4(a – x) 4a – 4x 11/28/2018

Distribute 2(3f + 4g) 11/28/2018

Distribute 2(3f + 4g) 6f + 8g 11/28/2018

Distribute -2(a + b) 11/28/2018

Distribute -2(a + b) -2a + -2b or -2a – 2b 11/28/2018

Distribute -3(x – y – z) 11/28/2018

Distribute -3(x – y – z) -3x - -3y - -3z or -3x + 3y + 3z 11/28/2018

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Simplify: 24x14 ÷ 12x2 11/28/2018

Simplify: 24x14 ÷ 12x2 2x12 11/28/2018

Simplify: (ab)-4(ab) = 11/28/2018

Simplify: (ab)-4(ab)1 = (ab)(-4+1) = (ab)-3 11/28/2018

How do you simplify?: 11/28/2018

How do you simplify?: 82 = 64 11/28/2018

True or False: Slope can be described as steepness. 11/28/2018

True 11/28/2018

What is wrong with this sentence: Slope is the ratio (fraction) of the change in x to the change in y. 11/28/2018

It is backwards, slope is the ratio of the change in Y to X, What is wrong with this sentence: Slope is the ratio (fraction) of the change in x to the change in y. It is backwards, slope is the ratio of the change in Y to X, not X to Y. Notice y’s in the numerator, x’s in the denominator! 11/28/2018

How do you calculate the SLOPE of the hypotenuse? calculate the LENGTH of the hypotenuse? 11/28/2018

Use a2 + b2 = c2 (because it is a right triangle). How do you calculate the SLOPE of the hypotenuse? You write a FRACTION that shows: the CHANGE IN Y over the CHANGE IN X. How do you calculate the LENGTH of the hypotenuse? Use a2 + b2 = c2 (because it is a right triangle). 11/28/2018

How do you calculate the SLOPE of the hypotenuse? calculate the LENGTH of the hypotenuse? 11/28/2018

How do you calculate the SLOPE of the hypotenuse? You write a FRACTION that shows: the CHANGE IN Y over the CHANGE IN X. How do you calculate the LENGTH of the hypotenuse? Use a2 + b2 = c2 (because it is a right triangle). 11/28/2018

How do you set this problem up? “A car travels 420 miles in seven hours. How fast is it traveling?” 11/28/2018

“A car travels 420 miles in seven hours. How fast is it traveling?” How do you set this problem up? Use the distance triangle (420 divided by 7) “A car travels 420 miles in seven hours. How fast is it traveling?” 11/28/2018

How do you set this problem up? “A train travels at the speed of 80 miles per hour. You ride it for five hours in the morning and four hours in the afternoon. How far do you travel on that train?” 11/28/2018

How do you set this problem up? Use the distance triangle (80 times 9) “A train travels at the speed of 80 miles per hour. You ride it for five hours in the morning and four hours in the afternoon. How far do you travel on that train?” 11/28/2018

What is the unit rate shown in this chart? 11/28/2018

What is the unit rate shown in this chart? 2 Or find the slope, change in Y over change in X (30/2) and simplify it (15/1), = 15 miles per hour 30 15 Find the rate for ONE (1) hour! = 15 miles per hour 11/28/2018

What is the slope shown in this chart? 11/28/2018

What is the unit rate shown in this chart? 2 Or find the slope, change in Y over change in X (30/2) and simplify it (15/1), Slope = 15 30 15 Find the rate for ONE (1) hour! Slope = 15/1 = 15 11/28/2018

What is the unit rate shown in this chart? 11/28/2018

What is the unit rate shown in this chart? $150 per month 11/28/2018

What step(s) would you take to solve this problem? If Mary types 240 words in 6 minutes, how long will it take her to type 440 words? 11/28/2018

then cross multiply (butterfly) If Mary types 240 words in 6 minutes, how long will it take her to type 440 words? Set up a proportion, then cross multiply (butterfly) 240 words 440 words ---------- = ------------- 6 minutes x minutes What step(s) would you take to solve this problem? 11/28/2018

Convert 6/7 into a decimal or percent. What is the first step? 11/28/2018

Convert 6/7 into a decimal or percent. Long Division!!! 11/28/2018

Convert 152/7 into a decimal or percent. What is the first step? 11/28/2018

Convert 152/7 into a decimal or percent. What is the first step? Long division, 2 divided by 7. 11/28/2018

Convert 43/8 into a decimal or percent. What is the first step? 11/28/2018

Convert 43/8 into a decimal or percent. What is the first step? Long division, 3 divided by 8. 11/28/2018

Convert 62/9 into a decimal or percent. What is the first step? 11/28/2018

Convert 62/9 into a decimal or percent. What is the first step? Long Division, 2 divided by 9. 11/28/2018

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Read this decimal number: 0.56 Convert 0.56 into a fraction. What are the two steps? 11/28/2018

Convert 0.56 into a fraction. What are the two steps? 0.56 Fifty-six hundredths. Convert 0.56 into a fraction. What are the two steps? Write the 56 over 100 (56/100) then simplify. 11/28/2018

Convert 0.375 into a fraction. What are the two steps? Read this number: 0.375 Convert 0.375 into a fraction. What are the two steps? 11/28/2018

0.375 Three hundred seventy- Five thousandths. Convert 0.375 into a fraction. What are the two steps? Write 375 over 1000 (375/1000), then simplify. 11/28/2018

Convert 3.4 into a mixed number. What are the two steps? 11/28/2018

Convert 3.4 into a mixed number. What are the two steps? Write 4 over 10 (4/10), then simplify (2/5), then write the 3 alongside the fraction: 11/28/2018

How do you solve this problem? “What is 7/8 of 3/4?” 11/28/2018

How do you solve this problem? “What is 7/8 of 3/4?” Multiply them together! When used with fractions or percents, “of” means multiply! 11/28/2018

How do you solve this problem? “What is two-thirds of five eighths?” 11/28/2018

How do you solve this problem? “What is two-thirds of five eighths?” Multiply them together! When used with fractions or percents, “of” means multiply! 11/28/2018

How do you solve this problem? “What is six-fifths of nine-tenths?” 11/28/2018

How do you solve this problem? “What is six-fifths of nine-tenths?” Multiply them together! When used with fractions or percents, “of” means multiply! 11/28/2018

What does “OF” represent or indicate in a fraction (or percent) word problem? 11/28/2018

What does “OF” represent or indicate in a fraction (or percent) word problem? Multiply! 11/28/2018

How do you solve this problem? “What is 40% of 350?” 11/28/2018

How do you solve this problem? “What is 40% of 350?” Multiply .40 times 350 Or Multiply 40/100 times 350 11/28/2018

How do you solve? 11/28/2018

How do you solve? Change 6 to improper fraction then pre-simplify, then multiply across. 11/28/2018

How do you solve? 11/28/2018

How do you solve? Change BOTH to improper fractions, then pre-simplify, then multiply. 11/28/2018

How do you solve? 11/28/2018

How do you solve? Change BOTH to improper fractions, then pre-simplify, then multiply. 11/28/2018

How do you solve? 11/28/2018

How do you solve? Change BOTH to improper fractions, then pre-simplify, then multiply. 11/28/2018

5 students work 6 hours on a project. How many person-hours is this? 11/28/2018

30 person -hours 11/28/2018

10 students work 5 hours at the carwash. How many person-hours is this? 11/28/2018

50 hours 11/28/2018

It took the contractor 33 person-hours to paint the house It took the contractor 33 person-hours to paint the house. There were 3 workers on the job. How long did the job take? Include units with your answer. 11/28/2018

11 hours 11/28/2018

What is the equation for this set of points? Choose one: y = x2 y = -x2 y = x3 y = -x3 11/28/2018

y = x2 11/28/2018

What is the equation for this set of points? Choose one: y = x2 y = -x2 y = x3 y = -x3 11/28/2018

y = -x2 11/28/2018

What is the equation for this set of points? Choose one: y = x2 y = -x2 y = x3 y = -x3 11/28/2018

y = x3 11/28/2018

What is the equation for this set of points? Choose one: y = x2 y = -x2 y = x3 y = -x3 11/28/2018

y = -x3 11/28/2018

Write 48,000 in scientific notation 11/28/2018

Write 48,000 in scientific notation 4.8 x 104 11/28/2018

Write 6,270 in scientific notation 11/28/2018

Write 6,270 in scientific notation 6.27 x 103 11/28/2018

Write 0.0023 in scientific notation 11/28/2018

Write 0.0023 in scientific notation 2.3 x 10-3 11/28/2018

Write 4.5 x 103 in standard form 11/28/2018

Write 4.5 x 103 in standard form 4500 11/28/2018

Write 7.2 x 10-3 in standard form 11/28/2018

Write 7.2 x 10-3 in standard form 0.0072 11/28/2018

Write 1.8 x 10-2 in standard form 11/28/2018

Write 1.8 x 10-2 in standard form 0.018 11/28/2018