Algebra 1 Unit 6 Test Review

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

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

x + 2y < -2

y - x < 3

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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.

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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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

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.

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

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

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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

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