Algebra 1 Unit 6 Test Review

Which points are solutions to the system of inequalities below? Choose TWO correct answers.

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CCSS.HSA.REI.D.12

Which graph best represents the solution set for this system of inequalities?

x + 2y < -2

y - x < 3

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CCSS.HSA.REI.D.12

Haydn purchased flowers for his prom date. He paid $23.88 for a mix of 24 roses and carnations. - Roses cost $1.25 each. - Carnations cost $0.89 each. How many roses and carnations did Haydn purchase?

• Haydn purchased 17 roses and 7 carnations.

• Haydn purchased 5 roses and 17 carnations.

• Haydn purchased 7 roses and 17 carnations.

• Haydn purchased 19 roses and 5 carnations.

Tags

CCSS.8.EE.C.8C

Two brothers, Giannis and Francis, start riding their bikes home at the same time. Giannis rides his bike home from basketball practice, and Francis rides his bike home from a music lesson. The graph below shows each brother's distance from home x minutes after they begin riding their bikes. Choose the correct answer from the drop-down menus to complete the statement. Giannis and Francis are both ​ (a)   miles from home ​ (b)   minutes after they begin riding toward home.

• 0.6
• 3
• 0.9
• 1.2
• 6
• 9

Which of the following graphs best represents a system of equations that has no solution?

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Tags

CCSS.8.EE.C.8A

What is the value of x in the solution to the system of equations below? 15x - 12y = 13 30x + 9y = 4

• 17/3

• 1/3

• 2/3

• 1/6

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CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

The line graphed on the grid represents the first of two equations in a system of linear equations. If the graph of the second equation in the system passes through the points (-12, 20) and (4, 12), which statement is true?

• The only solution to the system is (10, 5).

• The only solution to the system is (0, 14).

• The system has no solution.

• The system has an infinite number of solutions.

Tags

CCSS.8.EE.C.8B

The tables of ordered pairs represent some points on the graphs of two different lines.

Hint:

Use Desmos "cheater mehod". Rewrite equation from slope-intercept form to standard form.

• x - 6y = -90, x - 3y = 27

• x + 6y = 90, x + 3y = -27

• 6x - y = -15, 3x - y = 9

• 6x + y = 15, 3x + y = -9

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

A system of equations is graphed on the grid. Which system of equations is best represented by the graph?

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Tags

CCSS.8.EE.C.8B

A bus travels two different routes: the Green Route and the Blue Route. The routes are different lengths. - On Monday the bus traveled the Green Route 6 times and the Blue Route 5 times, traveling a total of 52 miles. - On Tuesday the bus traveled the Green Route 12 times and the Blue Route 13 times, traveling a total of 119 miles. What is the length of the Green Route in miles?

**round to the nearest tenth**

Mathematical Equivalence

OFF

Tags

CCSS.8.EE.C.8C