Answers TX-Algebra I A-CRUnit Test

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Which ordered pair makes both inequalities true?y < 3x – 1y > –x + 4

(4,0)

(1,2)

(0,4)

(2,1)

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What is the solution to the system of equations?y = –5x + 3y = 1

(0.4, 1)

(0.8, 1)

(1, 0.4)

(1, 0.8)

Which ordered pairs make both inequalities true? Select two options. y < 5x + 2y > x + 1 (–1, 3)(0, 2) (1, 2)(2, –1)(2, 2)

(–1, 3)

(0, 2)

(1, 2)

(2, –1)

(2, 2)

A graphics company charges $50 per hour to create a logo plus $250 for the ownership rights of the logo. A private contractor charges $75 per hour to develop a logo plus a $100 supply fee.Which equation can be solved to determine x, the number of hours after which the costs would be the same?

50x + 250 = 75x + 100

50 + 250x = 75 + 100x

50x + 100 = 75x + 250

50 + 100x = 75 + 250x

What is the solution to this system of linear equations?x + y = 4x − y = 6

(4, 6)

(6, 4)

(5, −1)

(−1, 5)

Anatoliy has a combination of 104 nickels and quarters totaling $22. Which system of linear equations can be used to find the number of nickels, n, and the number of quarters, q, Anatoliy has?

n + q = 22 0.05n + 0.25q = 104

n + q = 104 5n + 25q = 22

n + q = 104 0.05n + 0.25q = 22

n + q = 22 5n + 25q = 104

What is the solution to this system of linear equations?3x – 2y = 14 5x + y = 32

(3, 5)

(6, 2)

(8, –1)

(14, –18)

Two linear equations are shown.

(7, 4)

(7, StartFraction 13 over 3 EndFraction)

(8, StartFraction 14 over 3 EndFraction)

(9, 7)

A coordinate grid with 2 lines. The first line is labeled y equals 0.5 x plus 3.5 and passes through (negative 3, 1), (negative 2.7, 2.1), and (0, 3.5). The second line is labeled y equals negative StartFraction 2 over 3 EndFraction x plus StartFraction 1 over 3 EndFraction and passes through the points (negative 4, 3), (negative 2.7, 2.1), and (StartFraction 1 over 3 EndFraction, 0).

(–2.7, 2.1)

(–2.1, 2.7)

(2.1, 2.7)

(2.7, 2.1)

Which value of m will create a system of parallel lines with no solution?y=mx-68x-4y=12

-2

Option

A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x is the number of 3-point questions and y is the number of 5-point questions, the system shown represents this situation.x + y = 243x + 5y = 100What does the solution of this system indicate about the questions on the test?

The test contains 4 three-point questions and 20 five-point questions.

The test contains 10 three-point questions and 14 five-point questions.

The test contains 14 three-point questions and 10 five-point questions.

The test contains 20 three-point questions and 8 five-point questions.

The system of equations can be solved using linear combination to eliminate one of the variables.2x − y = −4→10x − 5y = −203x + 5y = 59→3x + 5y = 59 13x = 39Which equation can replace 3x + 5y = 59 in the original system and still produce the same solution?

2x – y = –4

10x – 5y = –20

7x = 39

13x = 39

The cost of a parking permit consists of a one-time administration fee plus a monthly fee. A permit purchased for 12 months costs $660. A permit purchased for 15 months costs $810.What is the administration fee?

$50

$54

$55

$60

Which ordered pair is in the solution set of the system of linear inequalities?y > x – 1y < x – 1

(–5, 2)

(2, 2)

(5, 2)

no solution

Shirabi spent $208 on a sewing machine to make purses. She spends a total of $10 on thread, fabric, and accessories for each purse and plans to charge $36 for each purse. The equation represents her break-even point, when x represents the number of purses sold.208 + 10x = 36xHow many purses must she sell in order to break even?

On a coordinate plane, 2 straight lines are shown. The first solid line has a negative slope and goes through (negative 2, 3) and (0, negative 1). Everything to the left of the line is shaded. The second dashed line has a negative slope and goes through (0, 2) and (1, 0). Everything to the right of the line is shaded.

y<−2x+2

y>−2x+2

y<2x−2

y>2x−2

A coordinate grid with 2 lines. The first line passes through (0, negative 5) and (negative 5, 0). The second line passes through (0, negative 5) and (negative 2, 1).

(5, 0)

(0, 5)

(0, –5)

(–5, 0)

y=5x – 1–15x – 3y=3

one solution: (0, –1)

one solution: (1, 4)

no solution

infinite number of solutions

What is the solution to this system of linear equations?7x – 2y = –68x + y = 3

(–6, 3)

(0, 3)

(1, –5)

(15, –1)

On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (0, negative 2) and (2, 0). Everything to the left of the line is shaded. The second dashed line has a negative slope and goes through (0, 2) and (4, 0). Everything below and to the left of the line is shaded.

y > x – 2 and x – 2y < 4

y > x + 2 and x + 2y < 4

y > x – 2 and x + 2y < 4

y > x – 2 and x + 2y < –4

A motorboat travels 9 miles downstream (with the current) in 30 minutes. The return trip upstream (against the current) takes 90 minutes.Which system of equations can be used to find x, the speed of the boat in miles per hour, and y, the speed of the current in miles per hour? Recall the formula d = rt.

9 = 0.5(x – y) 9 = 1.5(x + y)

9 = 1.5(x – y) 9 = 0.5(x + y)

0.5 = 9(x – y) 1.5 = 9(x + y)

1.5 = 9(x – y) 0.5 = 9(x + y)

What is the solution to the system of equations?y = x – 102x + y = 4

(–8, 6)

(–6, 16)

(6, –8)

(16, –6)

y=x – 6x=–4

(–8, –4)

(–4, –8)

(–4, 4)

(4, –4)

Mira picked two numbers from a bowl. The difference of the two numbers was 4, and the sum of one-half of each number was 18. The system that represents Mira’s numbers is below. x – y = 4x + y = 18Which two numbers did Mira pick?

10 and 8

18 and 4

20 and 16

40 and 32

What is the x-value in the solution to this system of linear equations?2x − y = 11x + 3y = −5

−3

−1

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