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Practice Test Answers

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1
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Which system of inequalities has the solution set shown in the graph?

A
y is less than or equal to x squared minus 8 and x is greater than y squared plus 1
B
y is greater than or equal to x squared minus 8 and x is less than y squared plus 1
C
y is greater than or equal to x squared plus 1 and x is less than y squared minus 8
D
y is less than or equal to x squared plus 1 and x is greater than y squared minus 8
2
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Which statement describes the system of equations? 27 minus 9 x is equal to negative 7 y 45 plus 7 y is equal to 9 x

A
The system has one solution open paren 9 sevenths comma 4 close paren .
B
The system has no solution.
C
The system has infinitely many solutions.
D
The system has one solution open paren 4 comma 9 sevenths close paren .
3

Which graph represents the solution of x squared plus open paren y minus 2 close paren squared is less than 36 and y squared is greater than 8 x ?

A
Image with description On a coordinate plane, a circle has center (0, 2) and radius 3. A parabola opens to the right and goes through (8, 8), has vertex (0, 0), and goes through (4, negative 6). Everything inside of the circle and inside of the parabola is shaded.
B
Image with description On a coordinate plane, a circle has center (2, 0) and radius 6. A parabola opens to the right and goes through (8, 8), has vertex (0, 0), and goes through (4, negative 6). Everything inside of the circle and outside of the parabola is shaded.
C
Image with description On a coordinate plane, a circle has center (2, 0) and radius 6. A parabola opens to the right and goes through (8, 8), has vertex (0, 0), and goes through (4, negative 6). Everything inside of the circle and inside of the parabola is shaded.
D
Image with description On a coordinate plane, a circle has center (0, 2) and radius 3. A parabola opens to the right and goes through (8, 8), has vertex (0, 0), and goes through (4, negative 6). Everything inside of the circle and outside of the parabola is shaded.
4

A picture frame has a perimeter of 100 cm. Its width is 4 cm less than twice its length. What is the width of the picture frame?

A
50 cm
B
48 cm
C
32 cm
D
18 cm
5

What is the value of y in the solution to the following system of linear equations? 2 x plus 2 is equal to y 2 y is equal to 5 x minus 1

A
3
B
5
C
8
D
12
6

Organizers of the town fair make a total of 706 dollars from selling 164 hot dogs and 74 hamburgers at one of their concession stands. At their other concession stand, they make 884 dollars by selling 256 hot dogs and 61 hamburgers. If the prices are the same at both concession stands, what is the price of a hot dog?

A
2 point 5 0 dollars
B
4 point 0 0 dollars
C
3 point 7 5 dollars
D
0 point 4 0 dollars
7

A cell phone carrier offers two plans for text messaging. Plan cap A costs 20 dollars per month plus 0 point 0 5 dollars per text. Plan cap b costs 10 dollars per month plus 0 point 1 0 dollars per text. For how many text messages per month are the plans the same cost?

A
200
B
300
C
20
D
30
8

A store owner puts in an order for product cap x and product cap y for a total of 4 comma 000 units. It costs 0 point 1 0 dollars per item to ship of product cap x and 0 point 0 4 dollars per item to ship product cap y If the total shipping cost is 352 dollars , which system of equations can be used to determine how much of product cap x and product cap y the store owner bought?

A
x plus y is equal to 4 comma 000 0 point 1 x plus 0 point 0 4 y is equal to 352
B
10 x plus 4 y is equal to 4 comma 000 x plus y is equal to 352
C
x plus y is equal to 4 comma 000 10 x plus 4 y is equal to 352
D
0 point 1 x plus 0 point 0 4 y is equal to 4 comma 000 x plus y is equal to 352
9

The constraints of a problem are listed. What are the vertices of the feasible region? 4 x plus 3 y is less than or equal to 12 2 x plus 6 y is less than or equal to 15 x is greater than or equal to 0 y is greater than or equal to 0

A
open paren 0 comma 4 close paren , open paren 1 point 5 comma 2 close paren , open paren 7 point 5 comma 0 close paren
B
open paren 0 comma 0 close paren , open paren 0 comma 4 close paren , open paren 1 point 5 comma 2 close paren , open paren 7 point 5 comma 0 close paren
C
open paren 0 comma 2 point 5 close paren , open paren 1 point 5 comma 2 close paren , open paren 4 comma 3 close paren
D
open paren 0 comma 0 close paren , open paren 0 comma 2 point 5 close paren , open paren 1 point 5 comma 2 close paren , open paren 3 comma 0 close paren
10

Samuel wants to buy at least twice as many graphic novels as comic books. Comic books sell for 7 dollars each, and graphic novels sell for 12 dollars each. Samuel can spend a maximum of 50 dollars Let c represent the number of comic books, and let g represent the number of graphic novels. Which system of inequalities can be used to find the number of comic books and graphic novels Samuel can buy?

A
c is less than or equal to 2 g 7 c plus 12 g is less than or equal to 50 c is greater than or equal to 0 g is greater than or equal to 0
B
c plus g is less than or equal to 50 7 c plus 12 g is greater than or equal to 2 c is greater than or equal to 0 g is greater than or equal to 0
C
2 c is less than or equal to g 7 c plus 12 g is less than or equal to 50 c is greater than or equal to 0 g is greater than or equal to 0
D
c plus g is less than or equal to 50 c plus g is greater than or equal to 2 c is greater than or equal to 7 g is greater than or equal to 12
11

The constraints of a problem are listed. What are the vertices of the feasible region? x plus y is less than or equal to 5 y is less than or equal to 3 x is greater than or equal to 0 y is greater than or equal to 0

A
open paren 0 comma 0 close paren , open paren 2 comma 3 close paren , open paren 5 comma 0 close paren
B
open paren 0 comma 0 close paren , open paren 0 comma 3 close paren , open paren 2 comma 3 close paren , open paren 5 comma 0 close paren
C
open paren 0 comma 0 close paren , open paren 0 comma 5 close paren , open paren 2 comma 3 close paren , open paren 5 comma 0 close paren
D
open paren 0 comma 3 close paren , open paren 0 comma 5 close paren , open paren 2 comma 3 close paren
12

What is the point of intersection when the system of equations is graphed on the coordinate plane? negative x plus y is equal to 4 6 x plus y is equal to negative 3

A
open paren 1 comma negative 3 close paren
B
open paren negative 1 comma 3 close paren
C
open paren 1 comma 3 close paren
D
open paren negative 1 comma negative 3 close paren

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