Download Test 1 Review - HCC Learning Web

Test 1 Review
HCCS 0312
Find the x- and y-intercepts. Then graph the equation.
1) 5x - 20y = 20
1)
A) (-1, 0); (0, 4)
B) (-4, 0); (0, 1)
C) (4, 0); (0, -1)
D) (1, 0); (0, -4)
1
Find the equation in slope-intercept form of the line satisfying the conditions.
2) m = 9, passes through (7, -5)
A) y = 9x - 66
2)
B) y = 10x + 69
C) y = 9x + 67
D) y = 9x - 68
Decide whether the relation is a function.
3) {(-2, 3), (2, 8), (4, -4), (9, 9), (11, -4)}
3)
A) Function
B) Not a function
Solve the problem involving consecutive integers.
4) The sum of three consecutive odd integers is 201. Find the integers.
A) 65, 67, 69
B) 67, 69, 71
4)
C) 69, 71, 73
D) 60, 61, 62
Name the quadrant, if any, in which the point is located.
5) (-2, 8)
A) I
5)
B) II
C) III
D) None
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).
6) 5x - 6y = 5
A) f(x) = 5 - 5x
B) f(x) =
5 - 5x
-6
C) f(x) = 5 -
5x
6
D) f(x) = -5x -
5
6
6)
Solve the problem.
7) Gloria collected 24 fantail and comet goldfish. There were 16 fewer fantails than comets. How
many comets did Gloria have?
A) 8 comets
B) 4 comets
C) 18 comets
D) 20 comets
8) Find the length of a rectangular lot with a perimeter of 116 m if the length is 6 m more than the
width.
A) 64 m
B) 26 m
C) 58 m
8)
D) 32 m
9) Find f(-2) when f(x) = x2 - 5x - 6.
A) 0
7)
9)
B) 20
C) 8
D) -12
Solve the equation.
10) t + 2 = 0
A) {-2}
11) 24x - 5 = 7
1
A) 2
10)
B) (- , 2]
[-2, )
11
B)
24
2
C)
D) {2}
1
C)
12
1
D)
2
11)
12) x = 12
12)
A) {-12}
13)
B) {12, -12}
C) {144}
D) {12}
2x x
- =5
5
3
13)
A) {-150}
B) {150}
C) {75}
D) {-75}
Find the slope and the y-intercept of the line.
14) 4x + 5y = 41
4
41
A) Slope - ; y-intercept 0,
5
5
C) Slope
4
41
B) Slope ; y-intercept 0,
5
5
1
5
; y-intercept 0,
4
41
D) Slope -
14)
1
5
; y-intercept 0,
4
41
Solve the system by elimination. If the system is inconsistent or has dependent equations, say so.
15) -x - 9y = 21
2x + 9y = -24
15)
A) {(2, -3)}
B) {(-3, -2)}
C) {(-2, -3)}
D)
; inconsistent system
Solve the inequality. Give the solution set in both interval and graph forms.
16) -5 < x + 2 6
16)
A) (-3, 8]
B) [-3, 8)
C) [-7, 4)
D) (-7, 4]
3
17) z - 12 < -21
17)
A) [-9, )
B) (- , -9)
C) (- , -9]
D) (-9, )
Decide if the statement is true or false.
18) 9 is a solution of -3x = -27.
18)
A) True
B) False
Graph the linear inequality in two variables.
19) 2x + y
19)
5
4
A)
B)
C)
D)
Write an inequality statement involving the letter x that describes the given graph or interval notation.
20) (7, )
A) x
20)
7
B) x > 7
C) x < 7
D) x
7
Translate the verbal phrase into a mathematical expression. Use x to represent the unknown number.
21) 129 more than a number
A) 129 + x
21)
B) 129 - x
C) 129
D) 129x
Evaluate the function.
22) Find f(12)
A) 7
22)
f
B) None of these
C) 4
5
D) (7, 4)
Decide whether the following is an expression or an equation.
23) 9x - 4 - 7x + 7
23)
A) Expression
B) Equation
Complete the table for the equation.
24) x + y = 7
24)
x y
3
7
0
A) 4; 0; 7
B) 4; -1; 7
C) 12; 0; 7
D) 3; 7; 0
Find the midpoint of the segment with the given endpoints.
25) (3, 0) and (2, 3)
A) 5, 3
5 3
B) ,
2 2
1
3
C) , 2
2
25)
D) 1, -3
For the compound inequality, give the solution set in both interval and graph forms.
26) x
2 and x
26)
-3
A) (- , -3]
B) [2, )
C) (2, )
D) (- , 2]
6