Algebra 1 Unit 5 Test - Solving Systems

Which of the following is the correct graph for the equation -2x+4y=16?

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Answer explanation

Add 2x, divide 4 off y.

Which of the following graphs represents the inequality -3x -2y < 10?

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Answer explanation

-2y y is negative, so flip the sign.

y > shade above

not equal to - dashed line

Tags

CCSS.HSA.REI.D.12

Which graph represents the solution set to the system of inequalities?

y > 4x + 5

4x + 2y < -10

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Answer explanation

y > above for first (yellow)

y < below for second (purple)

Tags

CCSS.HSA.REI.D.12

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Answer explanation

y is negative in second equation. Flip the sign.

Tags

CCSS.HSA.REI.D.12

What is the solution to the system of equations below?

8x - 2y = 12

4x + 3y = 10

• 1

• 5/4

• 9/4

• 7/4

Tags

CCSS.HSA.REI.C.9

The junior class needs a combined total of 180 small and medium T-shirts for a school event. The number of small T-shirts needed is twice the number of medium T-shirts needed. Based on this information, would it be reasonable for the junior class to order 60 medium T-shirts and 120 small T-shirts?

• No, because the number of small T-shirts is not 2 times the number of medium T-shirts

• No, because the number of medium T-shirts is not 2 times the number of small T-shirts

• Yes, because the total number of T-shirts is 180

• Yes, because the number of medium T-shirts is 1/3 of the total number of T-shirts

Tags

CCSS.8.EE.C.7B

A candy company sells cases of chocolate bars. The company has fixed costs of $25,000, and each case of chocolate bars costs an additional $8 to make. The company sells each case for $12. The graph of a system of linear equations representing this company’s costs and revenue for manufacturing and selling x cases of chocolate bars is shown below. How many cases of chocolate bars will this company need to sell in order for costs and revenue to be equal?

The equations for the graphs are y=25000+8x and y=12x.

• 3,500

• 6,250

• 35,000

• 75,000

Tags

CCSS.8.EE.C.8C

The graph of -0.75x - 3y = 4 is shown on the grid. Which ordered pair is in the solution set of -0.75x - 3y ≥ 4?

• F (-2, 0.5)

• G (2, 1)

• H (2, -1)

• J (-3, -1.5)

Answer explanation

Odd Man Out

A college student needs 16 classes that are worth a total of 50 credits in order to complete her degree. The college offers both 4-credit classes and 3-credit classes. Which system of equations can be used to determine f, the number of 4-credit classes the student can take to complete her degree, and h, the number of 3-credit classes?

• f + h = 50

  4h + 3f = 16

• f + h = 16

  4h + 3f = 50

• f + h = 50

  4f + 3h = 16

• f + h = 16

  4f + 3h = 50

Answer explanation

Total classes is 16.

Add classes times the credit hours for total of 50 credit hours.

Tags

CCSS.HSA.CED.A.3

Which graph can be used to find the solution to the system of equations below?

2x + y = -4

3y = 2x + 12

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Answer explanation

Tags

CCSS.8.EE.C.8B