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Test 1 Review 2
HCCS 0312
Decide whether the following is an expression or an equation.
1) -4x + 4 - 6x - 8
1)
A) Equation
B) Expression
Complete the table for the equation.
2) x + y = 5
2)
x y
3
5
0
A) 2; 0; 5
B) 3; 5; 0
C) 6; 0; 5
D) 2; 1; 5
Solve the equation.
3) 4x - 3 = 13
5
A)
2
B) 4
C) - 4
D)
15
4
4) t - 8 = 0
4)
A) {8}
5)
3)
B)
C) (- , -8]
[8, )
D) {-8}
2x x
- =2
5
3
A) {-60}
5)
B) {-30}
C) {60}
D) {30}
6) x = 6
6)
A) {-6}
B) {36}
C) {6}
D) {6, -6}
C) 10, 11
11
D) 5,
2
Find the midpoint of the segment with the given endpoints.
7) (1, 9) and (9, 2)
A) -8, 7
7
B) - 4,
2
7)
Evaluate the function.
8) Find f(4)
8)
f
A) None of these
B) 12
C) (12, 7)
1
D) 7
Decide whether the relation is a function.
9) {(-1, -2), (1, -6), (4, 3), (7, -4), (12, -5)}
9)
A) Not a function
B) Function
Find the equation in slope-intercept form of the line satisfying the conditions.
10) m = 2, passes through (3, -4)
A) y = 3x + 11
10)
B) y = 2x - 8
C) y = 2x + 9
D) y = 2x - 10
Name the quadrant, if any, in which the point is located.
11) (-5, 4)
A) II
11)
B) I
C) None
D) III
Find the x- and y-intercepts. Then graph the equation.
12) 2x - 6y = 12
12)
A) (2, 0); (0, -6)
B) (6, 0); (0, -2)
2
C) (-2, 0); (0, 6)
D) (-6, 0); (0, 2)
Decide if the statement is true or false.
13) 15 is a solution of 8x = 120.
13)
A) True
B) False
Solve the problem involving consecutive integers.
14) The sum of three consecutive odd integers is 213. Find the integers.
A) 71, 73, 75
B) 69, 71, 73
C) 73, 75, 77
14)
D) 64, 65, 66
Solve the system by elimination. If the system is inconsistent or has dependent equations, say so.
15) -x - 5y = 12
-6x + 5y = -33
15)
A) {(3, -3)}
B) {(3, 3)}
C) {(4, -4)}
D)
; inconsistent system
Solve the problem.
16) Find f(-3) when f(x) = x2 - 5x - 2.
A) -4
16)
B) -8
C) 26
D) 22
17) Find the length of a rectangular lot with a perimeter of 96 m if the length is 6 m more than the
width.
A) 21 m
B) 54 m
C) 48 m
D) 27 m
18) Gloria collected 28 fantail and comet goldfish. There were 8 fewer fantails than comets. How many
comets did Gloria have?
A) 13 comets
B) 18 comets
C) 10 comets
3
17)
D) 20 comets
18)
An equation that defines y as a function of x is given. Solve for y in terms of x, and replace y with the function notation
f(x).
19) 5x - 6y = 5
5 - 5x
A) f(x) =
-6
5x
B) f(x) = 5 6
5
C) f(x) = -5x 6
19)
D) f(x) = 5 - 5x
For the compound inequality, give the solution set in both interval and graph forms.
20) x
2 and x
20)
-3
A) (- , -3]
B) (- , 2]
C) (2, )
D) [2, )
Write an inequality statement involving the letter x that describes the given graph or interval notation.
21) (2, )
21)
A) x < 2
B) x
2
C) x > 2
D) x
2
Translate the verbal phrase into a mathematical expression. Use x to represent the unknown number.
22) 32 more than a number
A) 32 + x
22)
B) 32
C) 32 - x
D) 32x
Find the slope and the y-intercept of the line.
23) 7x + 5y = 48
A) Slope -
7
48
; y-intercept 0,
5
5
B) Slope
5
5
; y-intercept 0,
7
48
C) Slope -
5
5
; y-intercept 0,
7
48
D) Slope
7
48
; y-intercept 0,
5
5
23)
Solve the inequality. Give the solution set in both interval and graph forms.
24) -5 < x + 3 2
24)
A) [-2, 5)
B) (-2, 5]
C) (-8, -1]
D) [-8, -1)
4
25) z - 8 < 4
25)
A) [12, )
B) (12, )
C) (- , 12]
D) (- , 12)
Graph the linear inequality in two variables.
26) 2x + y
26)
3
A)
B)
5
C)
D)
6