1) Which set of coordinates describe a function A)(2, -4), (-2,-7), (0,2), (-3,-8) B)(6,2), (3,5), (3,10), (-1, 7) C)(6,-4) (-3,-3), (-2, -2), (6, -8) D)(8,4), (8,-4), (2,8), (3,2) HINT: Look at the x-values, they cannot repeat if the set of coordinates make a function.
1) Which set of coordinates describe a function A)(2, -4), (-2,-7), (0,2), (-3,-8) All of these x-value are different. B)(6,2), (3,5), (3,10), (-1, 7) C)(6,-4) (-3,-3), (-2, -2), (6, -8) D)(8,4), (8,-4), (2,8), (3,2) HINT: Look at the x-values, they cannot repeat if the set of coordinates make a function.
2) Which equation describes the data in the table? A)y = -2x + 1 B)y = -x - 2 C)y = -3x - 1 D)y = -2x + 3 HINT: In Multiple Choice test, without having to consider Y-intercept or slope, easiest option is to consider trial and error. Plug x-value and you should get the corresponding y value. Recommend using y-intercept (0,y) or x-intercept (x,0) XY
3) Which equation describes the data in the table? A)y = -2x + 1 (0 ≠ -2(-2) + 1 = 4 + 1) B)y = -x - 2 (0 = - (-2) - 2 = ) C)y = -3x - 1 (0 ≠ - 3(-2) - 1 = ) D)y = -2x + 3 (0 ≠ - 2(-2) + 3 = ) HINT: In Multiple Choice test, without having to consider Y-intercept or slope, easiest option is to consider trial and error. Plug x-value and you should get the corresponding y value. Recommend using y-intercept (0,y) or x-intercept (x,0) XY
3) The temperature in degrees Fahrenheit, is 32 more than 9/5 of the temperature in degrees Celsius, C. Which equation best represents this relationship A)F = (C + 32) B)F = x 32 + C C)F = + C + 32 D)F = C
3) The temperature in degrees Fahrenheit, is 32 more than 9/5 of the temperature in degrees Celsius, C. Which equation best represents this relationship A)F = (C + 32) B)F = x 32 + C C)F = + C + 32 D)F = C + 32 =+ 32x
4) Ms Long has started saving for a new television. She saved $95 last month. She plans to add $60 each month until she has saved at least $600. Which inequality can be used to find m, the minimum number of months it will take Ms. Long to save for her television? A)60m – 95 ≥ 600 B) m ≥ 600 C)60m - 75 < 600 D)95m + 60 ≥ 600
4) Ms Long has started saving for a new television. She saved $95 last month. She plans to add $60 each month until she has saved at least $600. Which inequality can be used to find m, the minimum number of months it will take Ms. Long to save for her television? A)60m – 95 ≥ 600 B) m ≥ 600 C)60m - 75 < 600 D)95m + 60 ≥ 600 # of month (m) $ m 60*m At least $600 - means he could be saving at a minimum $600 or $601, $602…..
5) A student incorrectly solved the equation. 3(2x + 6) – 4 = 14 as shown below. Step 1:3(2x + 6) – 4 = 14 Step 2: 6x + 6 – 4 = 14 Step 3: 6x + 2 = 14 Step 4: 6x = 12 Step 5: x = 2 Which step is the first mistake.
5) A student incorrectly solved the equation. 3(2x + 6) – 4 = 14 as shown below. Step 1:3(2x + 6) – 4 = 14 Step 2: 6x + 6 – 4 = 14 Step 3: 6x + 2 = 14 Step 4: 6x = 12 Step 5: x = 2 Which step is the first mistake. 3 * 6 = 18
6) Solve and graph the following inequality. 2 (8 + x) – 18 ≤ 3x
6) Solve and graph the following inequality. 2 (8 + x) - 18 ≤ 3x ( ) - Distributive Property of Multiplication (DPM) 2 x x x - 18 ≤ 3x x - 18 ≤ 3x Combine Like Terms (CLT) x ≤ 3x Combine Like Terms (2x becomes -2x on the “other side”.) -2 ≤ 3x-2x -2 ≤ x x ≥ ≥ “Greater or equal” (equal - means “closed”)
7) What is 38% of 60?
38 x = 38 * 60 = 100x 2280 = 100x (divide both sides by 100) x = 22.8
8) 22% of what is 33?
8) 22% of what (x) is 33? x = 22x = 33 * x = 3300 (divide both sides by 22) x = 150
9) A function is described by f(x) = 5x + 8. The replacement set for the independent variable is (2, 5, 10, 11). Which of the following belong to the corresponding set of values of the dependent set? A)18 B)4 C)22 D)88
9) A function is described by f(x) = 5x + 8. The replacement set for the independent variable is (2, 5, 10, 11). Which of the following belong to the corresponding set of values of the dependent set? A)18 B)4 C)22 D)88 Plug the independent (x-value) into the function. Since, we are only given one dependent (y-value), we only need to find the “right” x-value. Plugging 2 into equation, we get 5(2) + 8 = 18
10) Suppose that 37.5% of freshmen entering a college graduate from it. If there are 2680 freshmen, will graduate from that college. A)1675 B)228 C)1005 D)1579
10) Suppose that 37.5% of freshmen entering a college graduate from it. If there are 2680 freshmen, will graduate from that college. A)1675 B)228 C)1005 D) x =
11) Which equation represents Step 2 in the solution process? Step 1:5x - 7(3 + x) = 12 Step 2: Step 3: -2x – 21 = 12 Step 4: x = -26 A)5x x = 12 B)5x x = 12 C)5x x = 21 D)5x x = 12
11) Which equation represents Step 2 in the solution process? Step 1:5x - 7(3 + x) = 12 Step 2: Step 3: -2x – 21 = 12 Step 4: x = -26 A)5x x = 12 B)5x x = 12 C)5x x = 21 D)5x x = 12
12) Which equation fits the data in the table below? A)f(x) = - x + 9 B)f(x) = 3x – 9 C)f(x) = x – 9 D)f(x) = -3x Xf(x)
12) Which equation fits the data in the table below? A)f(x) = - x + 9 B)f(x) = 3x – 9 C)f(x) = x – 9 D)f(x) = -3x Xf(x) Plug the x-value into each equation and check to see if the output, f(x), column is same as table.
13) Which function fits the data set below? (-2, 18), (0, -6), (3, -42) A)6x - 12 = y B)12 + 6x = y C)-6x + 12 = y D)-12x – 6 = y
13) Which function fits the data set below? (-2, 18), (0, -6), (3, -42) A)6x - 12 = y B)12 + 6x = y C)-6x + 12 = y D)-12x – 6 = y Using the slope-intercept equation (y = mx + b), The y intercept is the point (0, -6), thus, b has to be -6. If you don’t see that, you have to plug the x-value into each equation.
14) Solve the proportion: r =
14) Solve the proportion: r = r = (40*60) / 50 = 48
16) Solve the equation 6x – 8 = 2x + 12
No “ ( ) “, so no need to Distribute. Combine Like Terms (CLT) 6x - 2x = x = 20 x = 5
17) Mary can type 250 words in 4 minutes. How many words can Mary type in 26 minutes?
17) Mary can type 250 words in 4 minutes. How many words can Mary type in 26 minutes? (COMPARE MINUTES TO WORDS or Words to Minutes) x = 26* 250 = 4*x x = 1625
18) Which is the range of the funcion: f(x) = -2x – 4 when the domain is {3,4,5}?
Range = {-10,-12,-14} f(x) = -2(3) – 4 = -10 f(x) = -2(4) – 4 = -12 f(x) = -2(5) – 4 = -14
19) Which expression is equivalent to 2 (4y a)? A)8y a B)8y a C)8y a D)8y a
19) Which expression is equivalent to 2 (4y a)? A)8y a B)8y a C)8y a D)8y a 2*4 - 2*7 + 2*3a
20) Which expression is equivalent to -2 (2x - 10) + 5(x - 3)? A)x - 35 B)x + 35 C)x + 5 D)-x + 5
20) Which expression is equivalent to -2 (2x - 10) + 5(x - 3)? A)x - 35 B)x + 35 C)x + 5 D)-x + 5 Distribute and Combine Like Terms -2(2x – 10) + 5 (x-3) Step1: -2*2x + 5*x x Eliminate D Step 2: -2* *
24) Which expression describes the sum of: 3 (2x - 1) + 5(x + 4)? A)30x - 3 B)11x + 17 C)11x - 23 D)30x + 17
28) Write the inequality
x ≤ 1 Or x < 1
29) Solve and graph: -30 ≥ 18x + 6
18x + 6 ≤ x ≤ x ≤ -36 x ≤ -2
30) D 31) b = ) A number y squared more than a number x or a number x add a number y squared 33) c = 3 34) x = 36/14 = 18/7 35) n = ) D 37) 2000 ≥ *x 41) ) 750
43) J 44) C 45) F 47) B 48) C