Math Test

Math 0312
Review (Ch 2 & 3)

Name: ________________________________________________________________

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Solve the equation.
1) 20x - 1 = 14
3
A)
4

7
B)
10

13
C)
20

3
D) 4

1)

Decide whether the equation is conditional, an identity, or a contradiction. Give the solutionset.
2) 20m + 10 = 5(2 m - 2)

2)

A) Conditional; {-2 }

B) Contradiction;

C) Conditional; {-0 }

D) Identity; {all real numbers}

Solve the equation.
f
3) - 3 = 1
3

3)

A) {12}
4)

B) {-6 }

C) {6}

D) {-12}

p 3p
=4
4
8

A) {-28}

4)
B) {-32}

C) {32}

D) {28}

Solve the equation for the specified variable. Use the distributive property to factor asnecessary.
5) 9k + ar = r - 2y for r
9k + a
- 9k - a
or r =
A) r =
1 - 2y
2y - 1
C) r =

5)

a-1
1-a
or r =
B) r =
9 k + 2y
- 9 k - 2y

- 9 k - 2y
9 k + 2y
or r =
a-1
1-a

D) r =

9 k + 2y
-9 k - 2y
or r =
a-1
1-a

Solve the formula for the specified variable.
1
6) A = bh for b
2
A) b =

h
2A

B) b =

6)
Ah
2

C) b =

2A
h

D) b =

A
2hDecide whether the following is an expression or an equation.
7) (y - 6) - (y + 3) = 8

7)

A) Expression

B) Equation

8) 5(y + 6) + 6 (y - 8)

8)

A) Equation

B) Expression
1

Solve the problem.
9) A square plywood platform has a perimeter which is 11 times the length of a side, decreased by 14.
Find the length of a side.
A) 7

B) 9

C) 2

9)

D) 1

Write aninequality statement involving the letter x that describes the given graph or interval notation.
10) (4, )
A) x

10)
4

B) x > 4

C) x

4

D) x < 4

11)

11)

A) x > -6

B) x

-6

C) x < -6

D) x

-6

Solve the inequality. Give the solution set in both interval and graph forms.
12) a - 10 < - 7

12)

A) (- , 3]

B) [3, )

C) (3, )

D) (- , 3)

2

13) -1 < x- 1

13)

2

A) [0, 3)

B) [-2 , 1 )

C) (0, 3]

D) (-2 , 1 ]

Solve the equation.
14)

x =2

14)

A) {2}

B) {-2 }

C) {4}

D) {2, -2 }

Solve the inequality and graph the solution set.
15) x > 8

A) (- , -8 )

15)

(8 , )

B) (-8 , 8 )

C) (-8 , )

D) (8, )

3

16) g + 2 < 5

16)

A) (7, 3)

B) (-7 , - 3)

C) (-7 , 3 )

D)

Solve theequation.
1
3
n+2 = n-2
17)
2
4
A)

17)
B) {0}

C) {16, 12}

D) {16, 0}

Solve the given equation or inequality. If an equation is given, then write the solution set in set notation. If an inequality
is given, then write the solution set in interval notation.

18) y + 4 - 5 = 9
A) {14, - 14}

18)
B) {12, 17}

C) {10}

D) {10, - 18}

Solve the equation or inequality.
19)x = -9
A)

19)

1
B)
9

C) {9}

D) {-9 }

Name the quadrant, if any, in which the point is located.
20) (-17, 10)
A) I

20)
B) III

C) II

4

D) None

Plot the point on the rectangular coordinate system provided. Write the corresponding letter as your answer.

21) (0, 2)
A) F

21)
B) B

C) K

D) C

Complete the table for the equation.
22) y = -x - 3

22)xy
3
-3
0

A) 1; - 6; - 3

B) -6 ; 0; 0

C) 1; 0; -3

D) -6 ; 0; - 3

Graph the equation by determining the missing values needed to plot the ordered pairs.
23) y + x = 3 ; (1 , ), (3, ), (2 , )

23)

5

A)

B)

C)

D)

Find the x- and y-intercepts. Then graph the equation.
24) 10y - 2x = - 4

24)

6

A) -

2
, 0 ; (0, 2 )
5

C) (-2 , 0); 0, -

B) -2
5

2
, 0 ; (0, - 2)
5

D) (2, 0); 0, -

2
5

Find the midpoint of the segment with the given endpoints.
25) (6, 5) and (3 , 0)
95
A) ,
22
26) -

35
C) ,
22

B) 9, 5

25)
D) 3, 5

11
5
97
,and ,
2
2
22

A) 4, 4

26)
B) -

11
,
22

C) 400, 144

D) - 5, - 3

Suppose that segment PQ has the given coordinates for one endpoint P and for its...