Quarter 1 Exam Review 2018-2019

Sarah solved the following equation:

Line 1: 3(x - 2) = 27

Line 2: x - 2 = 9

Line 3: x = 11

What property was used between

Lines 2 and 3?

• Multiplication Property of Equality

• Addition Property of Equality

• Distributive Property

• Identity Property of Equality

The area of a rectangular

swimming pool is x³ + 8x² + 19x + 12.

The length of the pool is x² +4x + 3.

Which of the following could represent the width?

• (x – 4)

• (x + 2)

• (x - 2)

• (x + 4)

Which of the following expressions is equivalent to 500(1.025)^t

• 500(1 – 0.025)^t

• (500 – 12.5)^t

• 500(1 + 0.025)^t

• (500 + 12.5)^t

Which of the expressions are equivalent?

I. (x – 4)² – 1

II. x² – 8x – 17

III. x² + 15

IV. x² – 8x + 15

V. (x – 5)(x – 3)

VI. x² – 17

• IV and V

• I and II

• I, IV, V

• I, III, V

Simplify (3x + 4) + 5(2x - 7)

• 13x - 31

• 13x - 3

• 10x + 2

• 13x + 39

Given the equation 5x + 2 = 3x - 2, what property could be used more than once to solve for x?

• Multiplication Property of Equality

• Distributive Property

• Addition Property of Equality

• Identify Property of Equality

Which of the following is the solution to 10 = x/3 + 4?

• x = 18

• x = 42

• x = 2

• x = 14/3

What is the solution to the inequality

3x - 4 ≥ ½ (2x + 8) ?

• x ≥ 6

• x ≥ 4

• x ≤ 6

• x ≤ 4

On Monday and Tuesday, Juan bought dinner for his family and spent the same amount of money both days. On Monday, Juan bought (5) hamburgers plus large fries that cost $2.50. On Tuesday, Juan bought more hamburgers and ice cream that cost $5.50.

The equation 5x + 2.50 = ax + 5.50 represents this situation. If hamburgers cost $3 each, how many burgers did Juan buy on Tuesday?

• 1

• 2

• 4

• 8

Ben started with $100 in his bank account. If he adds, $5 each week, what will be the balance in his account after 8 weeks (assuming he doesn't spend any money in that time)?

• $105

• $40

• $140

• $60