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NAME______________________
CUMULATIVE REVIEW
CHAPTERS 1-6
66 pts.
due: Jan. 6
Evaluate the expression for the given value(s) of the variable(s). ( 1 point each)
1.
a + b3 when a = 3.4 and b = 6
2.
10 – ( -x)3 + y2 when x = -1 and y = -4
Check whether the given number is a solution of the inequality. Show all work.
( 1 pt. each)
3.
n ( 34 – n ) < 111, -3
4.
c + 7 < 7; 100
9
Write the verbal phrase as an expression, equation, or inequality. ( 1 pt. each)
5. Twelve less than the product of eight and a number is less than fifty.
___________
6. Two and five ninths decreased by a number is thirty-one.
__________
7. Six less than five times the sum of a number and 6
__________
Write the numbers in increasing order. ( 1 pt. each)
8.
-5.6, -5.05, -5.003, -0.506, -5.069
_______________
9.
9, - 4/17, -34/9, -8.9, -9.01, -1
_______________
Solve the equation if possible. Show all work. ( 1 pt. each)
10.
-5.6( 2x – 26 ) = - ( -14.6 – 15x )
11.
-2 ( a + 5 ) = 27 – 2a
12.
7x – 6( 3 – x ) = 14 – x
13.
5( 2 – x ) + 7x = -3( x + 5 ) + 5( 5 + x )
Solve the equation if possible. Show all work. ( 1 pt.)
14.
10 – 4( -3 – 2x ) = 5x – ( x – 2 )
Rewrite so that y is a function of x; make a table of values and graph the function.
( 2 pts.)
15. 5x – 2y = 8
x
-1
0
1
Y
Find the x-intercept and the y-intercept of the line. Then use them to graph the
line. Show all work. ( 3 pts. Each)
16.
y = 9x – 3
17.
6x – 12y = 24
Rewrite the equation in slope-intercept form. Then graph the line. ( 3 pts. Each)
18.
4x + 3y – 12 = 0
19.
x – 3y = 21
Write an equation of the line in slope intercept form; given the following information.
( 2 pts. Each)
20.
parallel to y = 9x + 6
Passes through ( 6, 9 )
21.
perpendicular to y = -11/2 x – 12
passes through ( -33, 4 )
Write an equation for the line in slope intercept form; given the following information.
( 2 pts. Each)
22.
passes through ( 3, 0 ) and ( -3, 5 )
23.
passes through ( 3/8, 1 ) and ( -1/8, -1 )
24.
passes through ( 4, 5) and ( 3, 5 )
25.
undefined slope and passes through
( -3, 6 )
Write the standard form of the equation of the line passing through the given point
with the given slope. ( 2 pts. Each )
26.
( -3, -3 ), m = -6
27.
( 0, 5 ), m = - ½
Solve the inequality. Then graph its solution. ( 2 pts. Each)
28.
x + 2 > 2( 34 – x )
29.
--------------------
31.
x – 3x < 16
30.
---------------------
-30 < 6 – 4x < 30
-------------------
-7x > 42 OR 4x > 12
----------------------------
Solve the equation. Show all work. ( 2 pts. Each)
32.
|x–3| = 8
33.
4| 2x – 3 | + 16 = 44
Sketch the graph. ( 2 pts. Each)
34.
x > 3
35.
y < -2
36.
2x – 3y > -12