Summer II 2012 Houston Community College Review Test 1 Math 0312 Name___________________________________ Date:____________________________ MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Write an inequality statement involving the letter x that describes the given graph or interval notation. 1) 1) A) x > - 6 B) x < - 6 C) x K - 6 D) x L - 6 2) 2) ( - Q , - 5 ) A) x K - 5 B) x < - 5 C) x > - 5 D) x L - 5 3) 3) A) - 2 K x K 2 B) - 2 K x < 2 C) - 2 < x K 2 D) - 2 < x < 2 Solve the inequality. Give the solution set in both interval and graph forms. 4) 4) 12 z + 5 > 11 z + 8 A) ( - Q , 13 ) B) ( 13 , Q ) C) ( 3 , Q ) D) ( - Q , 3 ) 1
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Write an inequality statement involving the letter x that describes the given graph or interval notation.
1) 1)
A) x > -6 B) x < -6 C) x -6 D) x -6
2) 2)(- , -5)
A) x -5 B) x < -5 C) x > -5 D) x -5
3) 3)
A) -2 x 2 B) -2 x < 2 C) -2 < x 2 D) -2 < x < 2
Solve the inequality. Give the solution set in both interval and graph forms.
4) 4)12z + 5 > 11z + 8
A) (- , 13)
B) (13, )
C) (3, )
D) (- , 3)
1
5) 5)4a + 8 3a + 15
A) (- , 7]
B) [7, )
C) (- , 4)
D) (4, )
6) 6)-6(4a - 3) < -30a - 6
A) (- , -30)
B) (-30, )
C) (-4, )
D) (- , -4)
2
7) 9x - 8-7
< -559 7)
A) -5581
,
-5581
B) 4579
,
4579
C) - , -559
-559
D) 45781
,
45781
8) 8)-6x + 10(x - 6) > 4x - 2
A) B) ( , )
C) (0, ) D) (- , 0)
3
9) 9)-9 < 3a 3
A) [-3, 1) B) (-3, 1]
C) [-3, 1] D) (-3, 1)
10) 10)-21 < 5a + 4 -1
A) (-5, -1) B) (-5, -1]
C) [-5, -1] D) [-5, -1)
11) 6 3x - 14
9 11)
A) 253
, 373
253
373
B) 253
, 373
253
373
C) -253
, 373
-253
373
D) -373
, 253
-373
253
4
Use the graph to answer the question.
12) 12)
In which months was the percent of tropical storms at most 5%?
A) May B) February, March, April
C) May, June, July D) May, October
Solve the problem.
13) 13)Company A rents copiers for a monthly charge of $240 plus 12 cents per copy. Company B rentscopiers for a monthly charge of $480 plus 6 cents per copy. What is the number of copies abovewhich Company A's charges are the higher of the two?
A) 8000 copies B) 4100 copies C) 2000 copies D) 4000 copies
14) 14)Jim has gotten scores of 77 and 77 on his first two tests. What score must he get on his third test tokeep an average of 80 or greater?
A) At least 86 B) At least 85 C) At least 77 D) At least 78.0
Answer the question or solve the problem.
15) 15)True or False? If x > 4 then 10x > 40.
A) True B) False
Complete the table for the equation.
16) 16)y = -x - 3
x y3
-30
A) -6; 0; 0 B) -6; 0; -3 C) 1; -6; -3 D) 1; 0; -3
5
17) 17)x - 5y = -15
x y-5
05
A) 0; -5; -10 B) -2; -3; -4 C) 2; 3; 4 D) 4; 3; 2
Graph the equation by determining the missing values needed to plot the ordered pairs.
Find the x- and y-intercepts. Then graph the equation.
21) 21)10y - 2x = -4
A) (2, 0); 0, -25 B) -
25
, 0 ; (0, -2)
9
C) -25
, 0 ; (0, 2) D) (-2, 0); 0, -25
22) 115
x +35
y = -6 22)
A) 3011
, 0 ; (0, -10) B) -3011
, 0 ; (0, -10)
10
C) -3011
, 0 ; (0, 10) D) 3011
, 0 ; (0, 10)
23) 2y =35
x 23)
A) (0, 0); (0, 0) B) (0, 0); (0, 0)
11
C) (0, 0); (0, 0) D) (0, 0); (0, 0)
Find the midpoint of the segment with the given endpoints.
24) 24)(-8, -6) and (-7, -2)
A) -15, -8 B) -1, -4 C) -152
, - 4 D) -12
, - 2
Suppose that segment PQ has the given coordinates for one endpoint P and for its midpoint M. Find the coordinates ofthe other endpoint Q.
25) 25)P(0, 3) and M - 4, - 2
A) Q - 4, - 5 B) Q -8, -10 C) Q(-8, -7) D) Q -8, -4
Solve the problem.
26) 26)Suppose y = mx + b is a linear model for actual time as a function of estimated time, where yrepresents actual time and x represents estimated time and m and b are constants. If m = 3.1 andb = -2.7, find y when x is 15 min.
A) 6.63 min B) 43.8 min C) 23.37 min D) 49.2 min
Find the slope.
27) m =5 - (-2)-8 - (-4) 27)
A) -34 B) -
710 C) -
74 D) 7
4
Find the slope of the line through the pair of points.
28) 28)(3, -7) and (3, 7)
A) 14 B) -14 C) 0 D) Undefined
29) 29)(-5, -6) and (7, -4)
A) -16 B) - 6 C) 1
6 D) 6
12
30) 30)(6, -4) and (8, -4)
A) -2 B) 2 C) 0 D) Undefined
Find the slope of the line and sketch the graph.
31) 31)2x - 3y = -2
A) Slope: -23 B) Slope: -
32
C) Slope: 23 D) Slope: 3
2
13
Graph the line described.
32) 32)Through (-3, -4); m = 3
A) B)
C) D)
Decide whether the pair of lines is parallel, perpendicular, or neither.
33) 33)3x - 2y = 6 and 2x + 3y = 2
A) Parallel B) Perpendicular C) Neither
34) 34)The line through (3, -5) and (-1, 7) and the line through (6, -13) and (-2, 11)
A) Parallel B) Perpendicular C) Neither
14
35) 35)y + 20 = -4x and 4y = 24x - 14
A) Parallel B) Perpendicular C) Neither
Solve the problem.
36) 36)For the incline shown below, how many feet in the vertical direction correspond to 9 ft in thehorizontal direction?
A) 36 ft B) 3 ft C) 4 ft D) 94
ft
Tell whether the points are the vertices of a parallelogram (that is not a rectangle), a rectangle, or neither.
37) 37)(-10, -4), (-1, -18), (13, -9), (4, 5)
A) Rectangle B) Parallelogram C) Neither
38) 38)(-7, -1), (2, -10), (16, -3), (7, 8)
A) Parallelogram B) Neither C) Rectangle
15
Choose the graph that matches the equation.
39) 39)y = 3x + 6
A) B)
C) D)
16
40) 40)y = -3x + 4
A) B)
C) D)
Find the equation in slope-intercept form of the line satisfying the conditions.
41) 41)m = 2, passes through (7, -1)
A) y = 2x + 14 B) y = 3x + 16 C) y = 2x - 15 D) y = 2x - 13
Write the equation in slope-intercept form.
42) 42)20x + 8y = 5
A) y = 20x - 5 B) y = -52
x +58 C) y =
52
x -58 D) y =
52
x +58
43) 43)x - 8y = 3
A) y = 8x - 3 B) y =18
x - 3 C) y =18
x -38 D) y = x -
38
Find the slope and the y-intercept of the line.
44) 44)6x + 5y = 28
A) Slope -65
; y-intercept 0, 285 B) Slope 5
6; y-intercept 0, 5
28
C) Slope -56
; y-intercept 0, 528 D) Slope 6
5; y-intercept 0, 28
5
17
Find an equation of the line that satisfies the conditions. Write the equation in standard form.
45) Through (2, 5); m = -25 45)
A) 2x + 5y = 29 B) 5x + 2y = -29 C) 2x + 5y = -29 D) 2x - 5y = 29
Find an equation of the line passing through the two points. Write the equation in standard form.
46) 46)(-3, 0) and (9, 7)
A) -7x - 12y = -21 B) -3x + 2y = 41 C) 7x - 12y = -21 D) 3x - 2y = 41
Find an equation of the line satisfying the conditions. Write the equation in slope-intercept form.
49) 49)It costs $17 per hour plus a flat fee of $28 for a plumber to make a house call. What is an equation ofthe form y = mx + b for this situation?
A) y = 28x B) y = 17x + 28 C) y = 17x D) y = 28x + 17
The boundary of the graph of the linear inequality will be a _____ line, and the shading will be _____ the line. Fill in thefirst blank with either solid or dashed. Fill in the second blank with above or below.
50) y < x +16 50)
A) dashed; below B) solid; below C) dashed; above D) solid; above
51) y -23
x +53 51)
A) solid; above B) solid; below C) dashed; below D) dashed; above
