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Intermediate Algebra 2e

Practice Test

Intermediate Algebra 2ePractice Test

Practice Test

537.

Plot each point in a rectangular coordinate system.

ⓐ (2,5)(2,5)
 ⓑ (−1,−3)(−1,−3)
 ⓒ (0,2)(0,2)
 ⓓ (−4,32)(−4,32)
 ⓔ (5,0)(5,0)

538.

Which of the given ordered pairs are solutions to the equation 3x−y=6?3x−y=6?

ⓐ (3,3)(3,3) ⓑ (2,0)(2,0) ⓒ (4,−6)(4,−6)

Find the slope of each line shown.

539.

ⓐ



ⓑ

540.

Find the slope of the line between the points (5,2)(5,2) and (−1,−4).(−1,−4).

541.

Graph the line with slope 1212 containing the point (−3,−4).(−3,−4).

542.

Find the intercepts of 4x+2y=−84x+2y=−8 and graph.

Graph the line for each of the following equations.

543.

y = 5 3 x − 1 y = 5 3 x − 1

544.

y = − x y = − x

545.

y = 2 y = 2

Find the equation of each line. Write the equation in slope-intercept form.

546.

slope −34−34 and yy-intercept (0,−2)(0,−2)

547.

m=2,m=2, point (−3,−1)(−3,−1)

548.

containing (10,1)(10,1) and (6,−1)(6,−1)

549.

perpendicular to the line y=54x+2,y=54x+2, containing the point (−10,3)(−10,3)

550.

Write the inequality shown by the graph with the boundary line y=−x−3.y=−x−3.

Graph each linear inequality.

551.

y > 3 2 x + 5 y > 3 2 x + 5

552.

x − y ≥ −4 x − y ≥ −4

553.

y ≤ −5 x y ≤ −5 x

554.

Hiro works two part time jobs in order to earn enough money to meet her obligations of at least $450 a week. Her job at the mall pays $10 an hour and her administrative assistant job on campus pays $15 an hour. How many hours does Hiro need to work at each job to earn at least $450?

ⓐ Let x be the number of hours she works at the mall and let y be the number of hours she works as administrative assistant. Write an inequality that would model this situation.
 ⓑ Graph the inequality .
 ⓒ Find three ordered pairs(x,y)(x,y) that would be solutions to the inequality. Then explain what that means for Hiro.

555.

Use the set of ordered pairs to ⓐ determine whether the relation is a function, ⓑ find the domain of the relation, and ⓒ find the range of the relation.

{ ( −3 , 27 ) , ( −2 , 8 ) , ( −1 , 1 ) , ( 0 , 0 ) , { ( −3 , 27 ) , ( −2 , 8 ) , ( −1 , 1 ) , ( 0 , 0 ) ,
( 1 , 1 ) , ( 2 , 8 ) , ( 3 , 27 ) } ( 1 , 1 ) , ( 2 , 8 ) , ( 3 , 27 ) }

556.

Evaluate the function: ⓐ f(−1)f(−1) ⓑ f(2)f(2) ⓒ f(c).f(c).

f ( x ) = 4 x 2 − 2 x − 3 f ( x ) = 4 x 2 − 2 x − 3

557.

For h(y)=3|y−1|−3,h(y)=3|y−1|−3, evaluate h(−4).h(−4).

558.

Determine whether the graph is the graph of a function. Explain your answer.

In the following exercises, ⓐ graph each function ⓑ state its domain and range.
Write the domain and range in interval notation.

559.

f ( x ) = x 2 + 1 f ( x ) = x 2 + 1

560.

f ( x ) = x + 1 f ( x ) = x + 1

561.

ⓐ Find the xx-intercepts.
 ⓑ Find the yy-intercepts.
 ⓒ Find f(−1).f(−1).
 ⓓ Find f(1).f(1).
 ⓔ Find the domain. Write it in interval notation.
 ⓕ Find the range. Write it in interval notation.

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