Symbols and Sets Fractions Exponents and Variables Add and Subtract Multiply and Divide

Question Insert, or = to make a true statement. -2 ___ -6

Answer 1 – 10 Insert, or = to make a true statement. -2 > -6

Question Write the sentence as a mathematical statement. Negative ten is less than or equal to thirty- seven.

Answer 1 – 20 Write the sentence as a mathematical statement. Negative ten is less than or equal to thirty- seven. -10 ≤ 37

Question Given the set {52, -3, 4/3, -3.7, -1/2, 9.2}, list the numbers in this set that belong to the set of Rational numbers.

Answer 1 – 30 Given the set {52, -3, 4/3, -3.7, -1/2, 9.2}, list the numbers in this set that belong to the set of Rational numbers. {52, -3, 4/3, -3.7, -1/2, 9.2} (They’re all Rational numbers!)

Question Insert, or = to make a true statement. |-3| ___ |-1|

Answer 1 – 40 Insert, or = to make a true statement. |-3| >|-1| Because |-3| = 3 and |-1| = 1 and 3 > 1.

Question Order the following set of numbers on a number line: {-2, 0.2, ¼, 7, 7/4, -3/2}

Answer 1 – 50 Order the following set of numbers on a number line: {-2, 0.2, 1/4, 7, 7/4, -3/2} {-2, -3/2, 0.2, 1/4, 7/4, 7}

Question Find the prime factorization of 132.

Answer 2 – 10 Find the prime factorization of =

Question Divide the following fractions. Write the quotient in lowest terms. 3/5 ÷ 9/10

Answer 2 – 20 Divide the following fractions. Write the quotient in lowest terms. 3/5 ÷ 9/10 = 3/5 10/9 = (310)/(59) = (235)/(335) = 2/3

Question Add the following fractions. Write the sum in simplest form. 2/3 + 3/7

Answer 2 – 30 Add the following fractions. Write the sum in simplest form. 2/3 + 3/7 = (27)/(37) + (33)/(73) = 14/21 + 9/21 = 23/21 = 1 2/21

Question Use subtraction to find the unknown part of the pie.

Answer 2 – 40 Use subtraction to find the unknown part of the pie. 12/12 – 5/12 – 1/3 – 1/6 = 12/12 – 5/12 – 4/12 – 2/12 = (12 – 5 – 4 – 2)/12 =1/12

Question Find the perimeter of the following figure.

Answer 2 – 50 Find the perimeter of the following figure /8 + 1/8 + 3/4 + 3/4 + 1/2 = /8 + 1/8 + 6/8 + 6/8 + 4/8 = /8 = /8 = 55 2/8 = 55 1/4

Question Evaluate the following: (3/7)^2

Answer 3 – 10 Evaluate the following: (3/7) 2 = (3/7)(3/7) = (33)/(77) = 9/49

Question Simplify the following expression. 6 ÷

Answer 3 – 20 Simplify the following expression. 6 ÷ = 6 ÷ = = 27

Question Evaluate the following expression if x = -3 and y = 2. x 2 – 3y + x

Answer 3 – 30 Evaluate the following expression if x = -3 and y = 2. x 2 – 3y + x = (-3) 2 – 3(2) + (-3) = 9 – 6 – 3 = 0

Question Write the following sentence as an equation. Thirteen minus three times a number is seven.

Answer 3 – 40 Write the following sentence as an equation. Thirteen minus three times a number is seven. 13 – 3x = 7

Question Simplify the expression. (|6-2| )/(20 ÷ )

Answer 3 – 50 Simplify the expression. (|6-2| )/(20 ÷ ) = (|4| + 3 – 4)/( ) = (4 + 3 – 4)/(16 + 2) = (7 – 4)/18 = 3/18 =1/6

Question Add (-4.7)

Answer 4 – 10 Add (-4.7) = -16.1

Question Simplify the expression. 1.6 – (-10.3) + (-5.6)

Answer 4 – 20 Simplify the expression. 1.6 – (-10.3) + (-5.6) = – 5.6 = 11.9 – 5.6 = 6.3

Question Simplify the expression. |-13| [2 – (-7)]

Answer 4 – 30 Simplify the expression. |-13| [2 – (-7)] = 13 – [2 + 7] = 13 – = 13 – = =13

Question Simplify the expression. [7 + (-10)] + [-2 -|-4|] 2

Answer 4 – 40 Simplify the expression. [7 + (-10)] + [-2 -|-4|] 2 = -3 + [-2 - 4] 2 = -3 + [-6] 2 = = 33

Question The coldest temperature ever recorded on Earth was -129⁰F in Antarctica. The warmest temperature ever recorded was 136⁰F in the Sahara Desert. How many degrees warmer is 136⁰F than -129⁰F?

Answer 4 – 50 The coldest temperature ever recorded on Earth was -129⁰F in Antarctica. The warmest temperature ever recorded was 136⁰F in the Sahara Desert. How many degrees warmer is 136⁰F than -129⁰F? 136 – (-129) = = 265

Question Simplify the following expression. (-2)(-3)(-4)

Answer 5 – 10 Simplify the following expression. (-2)(-3)(-4) = 6(-4) = -24

Question Divide (2/3) ÷ (-5/4)

Answer 5 – 20 Divide (2/3) ÷ (-5/4) = (2/3) (-4/5) = (2 (-4))/(3 5) = -8/15

Question Multiply -0.2(-0.7)(-3)

Answer 5 – 30 Multiply -0.2(-0.7)(-3) = 0.14(-3) = -0.42

Question Simplify the following expression if x = -4 and y = -2. (x 3 + 3y)/(x – 3)

Answer 5 – 40 Simplify the following expression if x = -4 and y = -2. (x 3 + 3y)/(x – 3) = ((-4) 3 + 3(-2))/(-4 – 3) = ( (-2))/(-7) = ( )/(-7) =-70/-7 = 10

Question Write the following as an expression and evaluate. The sum of -2 and the product of -15 and 3.

Answer 5 – 50 Write the following as an expression and evaluate. The sum of -2 and the product of -15 and (-15 3) = = -47