Mid-Cycle 5 Study Guide

An office manager wants to buy extra desks and chairs for the office. Each desk costs $100, and each chair costs $50. Given that her total budget is $1,500, which of the following best represents the number of desks, x, and the number of chairs, y, she can buy? Complete the sentence below.

• A. 50x + 50y < 1,500

• B. 100x + 100y > 1,500

• C. -100x + -50y < 1,500

• D. 100x + 50y ≤ 1,500

Which section of the graph represents the solution set of the system of inequalities shown here?

• Section A

• Section B

• Section C

• Section D

Tags

CCSS.HSA.REI.D.12

Complete the statement to describe the solution to the following system of equations.

10x - 4y = 18

5x - 2y = 9

This system of equations has:

• no solution.

• one solution.

• infinitely many solutions.

Tags

CCSS.8.EE.C.8B

Which expression is equivalent to x² - 2x - 15?

• (x - 20)(x + 5)

• (x + 3)(x - 5)

• (x + 20)(x - 5)

• (x + 5)(x - 3)

A square with a side length of 2x + 5 is shown. Which expression represents the area of the square?

• 4x² + 25

• 4x² - 20x + 25

• 4x² + 20x + 25

• 4x² - 25

Tags

CCSS.HSA.APR.C.4

• x + 2

• 2x + 2

Tags

CCSS.HSA.APR.D.6

What is the value of "y" in the solution to this system of equations?

3y + x = -9

x = -2y + 18

• 27

• -9

• 0

• -27

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Which inequality represents this graph?

• 3x - 2y < = 7

• 4x - 6y < = 21

• 3x - 2y > = 7

• 4x - 6y > = 21

Tags

CCSS.HSA.REI.D.12

A system of linear inequalities is shown below.

2x + 4y > = -16

5x - y > = 4

Which of the following shows the solution set of this system of inequalities?

• 
• 
• 
• 

Tags

CCSS.HSA.REI.D.12

Which system of equations is represented by lines q and v?

• 21x - y = 9, 5x + 6y = 40

• 3x - y = -27, x + 2y = 16

• 21x - y = 9, 5x + 6y = 20

• 9x - y = -27, x + 2y = 8

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6