Download Basic Skills Review for rising 8th graders

SUMMER WORK RISING ADVANCED ALGEBRA 1
Name:______________________________________________
NO CALCULATOR USAGE UNLESS THE PROBLEM SPECIFICALLY SAYS YOU CAN
USE IT!
Evaluate the expression when x=2, y=3, and z=5.
1.
x+z
3.
( y + z)
__________
2
-3
2.
__________
0.6z - x
4.
__________
__________
x - 4y
7
Find the sum, difference, product, or quotient.
5.
-23+16
7.
29 - (-17)
__________
6.
__________
-36 + (-40)
8.
__________
-61- 42
__________
9.
11.
__________
__________
12(-5)
-99
-11
__________
10.
-15(-7)
12.
144
-6
__________
State the absolute value and the opposite of the number.
13.
8
Absolute Value: ________
Absolute Value: _______
14.
Opposite: _______
__________
-15
Opposite:
For questions 15-18, plot and label each point on the coordinate
plane. Then tell which quadrant the point is in or on which axis
it lies.
15.
A(-5,-8) ____________
____________
16.
B(-6,1)
17.
C(0,-3)
____________
____________
18.
D(4,-2)
Identify the property that each equation illustrates.
19.
(ab) ×1= ab
20.
x+0= x
21.
m+ n = n + m
22.
r ·(st) = (rs)· t
_____________________________________
_____________________________________
_____________________________________
_____________________________________
Simplify the expression by distributing and/or combining like
terms.
23.
21+ x -14 + 9x
__________
24.
4a + 2a + 3a
__________
26.
6(7n - 4) + 2n
__________
25.
-4(4m - 2) + 3
__________
Write the following sentences as equations. Then tell whether 6 is
a solution of the equation.
27.
The sum of x and 13 is 7.
__________
___________________________
28.
The product of -11 and z is -66.
___________________________
__________
Solve the equations.
29.
x -12 = 20
__________
__________
31.
7x = -63
__________
__________
30.
x
= -8
-6
32.
4.2 + x = 9.9
33.
5x + 3 = -22 __________
34.
-9x - 4 = 32 __________
35.
5(x + 4) = 60 __________
36.
102 = 6(5 - 3x)
__________
2x + 3 = -3x - 7
__________
-3y + 4 = -2y -10__________
37.
38.
Solve the inequality and graph the solution on a number line.
39.
x - 7 £19
41.
4 + 3x > -17 __________
__________
40.
42.
-2x < -16
6x - 8 ³ 7x
__________
__________
Find the Greatest Common Factor and the Least Common Multiple of
each monomial.
43. 12, 18
LCM______
GCF______
LCM______
44.
4x,
45. 15x2, 9x
LCM______
GCF______
LCM______
46. 20xy2,
6x
GCF______
5y GCF______
Find the sum, difference, product, or quotient or each problem
below.
47.
49.
4 5
- +
9 9
__________
__________
48.
50.
2
7
-6 - 4
3
8
__________
__________
Solve the equation or inequality by first clearing the fractions
or the decimals. Once you clear decimals you may use a calculator
to finish solving #53 and #54.
51.
4
2
x -2>
9
3
53.
1.6x - 2.8 = 5.2
__________
52.
__________
2
2 1
- x - £ __________
7
3 7
54.
2.5x + 2.79 =10.21
__________
Solve the proportion. (You may use a calculator but show all
work.)
55.
57.
8
2
__________
=
120 y
__________
6 8
= __________
21 z
56.
58.
99 9
=
w 14
1.4 11.2
=
x
72
__________
Use a percent equation to answer questions 59 and 60. You may use
a calculator but you must show your equation.
59.
What percent of 200 is 24?
____________
60.
11.4 is 9.5% of what number?
____________
Simplify the expression.
exponents.
Write your answer using positive
61.
x × x __________
62.
y5
y2
__________
63.
x -8 × x 6__________
64.
x -6
x -3
__________
65.
(x 2 ) 3 __________
66.
(-2x 3 )4
67.
(x -2 )-7 __________
68.
(3x 2 ) 0
2
2
__________
__________
69. The following points (6,19) (-2, -5) lie on the same line,
find the slope of that line.
__________
Change the equation to slope-intercept form and identify the slope
and y-intercept.
70.
6x + 3y = 12
Equation_________________________
Slope____________________
Y-Int.___________________
71.
X
Complete the table and graph the solutions for y =
2
x+2
3
Y
-6
-3
0
3
6
Find the sum, difference, or product of the expressions below.
72.
(2x 2 + x + 9) + (3x 2 - 4x - 5)
73.
(9x 2 + 2x) - (-5x 2 - 6x)
74.
(-8x - 3)(-7x + 2)
75.
3x(12x 5 +16x 2 )
____________________
____________________
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