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Symbols and Sets Fractions Exponents and Variables Add and Subtract Multiply and Divide 10 20 30 40 50
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Question 1 - 10 Insert, or = to make a true statement. -2 ___ -6
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Answer 1 – 10 Insert, or = to make a true statement. -2 > -6
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Question 1 - 20 Write the sentence as a mathematical statement. Negative ten is less than or equal to thirty- seven.
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Answer 1 – 20 Write the sentence as a mathematical statement. Negative ten is less than or equal to thirty- seven. -10 ≤ 37
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Question 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.
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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!)
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Question 1 - 40 Insert, or = to make a true statement. |-3| ___ |-1|
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Answer 1 – 40 Insert, or = to make a true statement. |-3| >|-1| Because |-3| = 3 and |-1| = 1 and 3 > 1.
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Question 1 - 50 Order the following set of numbers on a number line: {-2, 0.2, ¼, 7, 7/4, -3/2}
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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}
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Question 2 - 10 Find the prime factorization of 132.
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Answer 2 – 10 Find the prime factorization of 132. 132 = 2 2 3 11
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Question 2 - 20 Divide the following fractions. Write the quotient in lowest terms. 3/5 ÷ 9/10
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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
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Question 2 - 30 Add the following fractions. Write the sum in simplest form. 2/3 + 3/7
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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
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Question 2 - 40 Use subtraction to find the unknown part of the pie.
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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
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Question 2 - 50 Find the perimeter of the following figure.
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Answer 2 – 50 Find the perimeter of the following figure. 5 + 4 + 4 + 15 + 15 + 10 + 1/8 + 1/8 + 3/4 + 3/4 + 1/2 = 53 + 1/8 + 1/8 + 6/8 + 6/8 + 4/8 = 53 + 18/8 = 53 + 2 2/8 = 55 2/8 = 55 1/4
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Question 3 - 10 Evaluate the following: (3/7)^2
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Answer 3 – 10 Evaluate the following: (3/7) 2 = (3/7)(3/7) = (33)/(77) = 9/49
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Question 3 - 20 Simplify the following expression. 6 ÷ 3 + 5 2
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Answer 3 – 20 Simplify the following expression. 6 ÷ 3 + 5 2 = 6 ÷ 3 + 25 = 2 + 25 = 27
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Question 3 - 30 Evaluate the following expression if x = -3 and y = 2. x 2 – 3y + x
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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
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Question 3 - 40 Write the following sentence as an equation. Thirteen minus three times a number is seven.
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Answer 3 – 40 Write the following sentence as an equation. Thirteen minus three times a number is seven. 13 – 3x = 7
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Question 3 - 50 Simplify the expression. (|6-2| + 3 - 2 2 )/(20 ÷ 5 4 + 2)
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Answer 3 – 50 Simplify the expression. (|6-2| + 3 - 2 2 )/(20 ÷ 5 4 + 2) = (|4| + 3 – 4)/(4 4 + 2) = (4 + 3 – 4)/(16 + 2) = (7 – 4)/18 = 3/18 =1/6
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Question 4 - 10 Add. -11.4 + (-4.7)
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Answer 4 – 10 Add. -11.4 + (-4.7) = -16.1
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Question 4 - 20 Simplify the expression. 1.6 – (-10.3) + (-5.6)
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Answer 4 – 20 Simplify the expression. 1.6 – (-10.3) + (-5.6) = 1.6 + 10.3 – 5.6 = 11.9 – 5.6 = 6.3
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Question 4 - 30 Simplify the expression. |-13| - 3 2 + [2 – (-7)]
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Answer 4 – 30 Simplify the expression. |-13| - 3 2 + [2 – (-7)] = 13 – 3 2 + [2 + 7] = 13 – 3 2 + 9 = 13 – 9 + 9 = 4 + 9 =13
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Question 4 - 40 Simplify the expression. [7 + (-10)] + [-2 -|-4|] 2
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Answer 4 – 40 Simplify the expression. [7 + (-10)] + [-2 -|-4|] 2 = -3 + [-2 - 4] 2 = -3 + [-6] 2 = -3 + 36 = 33
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Question 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?
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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) = 136 + 129 = 265
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Question 5 - 10 Simplify the following expression. (-2)(-3)(-4)
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Answer 5 – 10 Simplify the following expression. (-2)(-3)(-4) = 6(-4) = -24
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Question 5 - 20 Divide (2/3) ÷ (-5/4)
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Answer 5 – 20 Divide (2/3) ÷ (-5/4) = (2/3) (-4/5) = (2 (-4))/(3 5) = -8/15
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Question 5 - 30 Multiply -0.2(-0.7)(-3)
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Answer 5 – 30 Multiply -0.2(-0.7)(-3) = 0.14(-3) = -0.42
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Question 5 - 40 Simplify the following expression if x = -4 and y = -2. (x 3 + 3y)/(x – 3)
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Answer 5 – 40 Simplify the following expression if x = -4 and y = -2. (x 3 + 3y)/(x – 3) = ((-4) 3 + 3(-2))/(-4 – 3) = (-64 + 3(-2))/(-7) = (-64 + -6)/(-7) =-70/-7 = 10
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Question 5 - 50 Write the following as an expression and evaluate. The sum of -2 and the product of -15 and 3.
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Answer 5 – 50 Write the following as an expression and evaluate. The sum of -2 and the product of -15 and 3. -2 + (-15 3) = -2 + -45 = -47
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