Algebra I Midterm Review
Simplify.
1.)
4  (2  5)  8
2.)
3  (10  16)
24 
44
2
3
3
3.)
Simplify.
42  6  2
8 2  2
(3 1)  3  3
16  2  8
2
4.)
Simplify.
5.)
3(5 2  8)  10
2
Simplify.
1.)
3 21  7
2.)
5 1 6  4  3
Simplify.
3.)
4.)
 24  8  5  6  2
6  12  4  2 3 19
Simplify.
5.)
11  (1 4)  6
2
12  4  2
x=0
Evaluate.
y = -3
1.)
x y z
2.)
2y  z
3y  x
2
2
2
2
z=2
Evaluate.
y = -3
x=0
3.)
x  y  z
4.)
y  9  4z
3
z=2
x=0
5.)
Evaluate.
y = -3
x yz
2  y  3x
2
z=2
List the subsets for each real
number.
Real - R
1.)
9.6
2.)
5
Irrational - Ir
Rational - Q
Integer - I
Whole - W
Natural - N
List the subsets for each real
number.
Real - R
3.)
5
9
4.)
4
Irrational - Ir
Rational - Q
Integer - I
Whole - W
Natural - N
List the subsets for each real
number.
Real - R
Irrational - Ir
Rational - Q
Integer - I
Whole - W
Natural - N
5.)
0.1212121212…
Properties of Real Numbers
Which properties apply?
Commutative Property of Addition
Commutative Property of Multiplication
Identity Property of Addition
Identity Property of Mult.
Associative Property of Addition
Associative Property of Multiplication
Inverse of Addition
Inverse of Multiplication
1.)
-4 + 4 = 0
2.)
9+2+7=7+2+9
Properties of Real Numbers
Which properties apply?
Commutative Property of Addition
Commutative Property of Multiplication
Identity Property of Addition
Identity Property of Mult.
Associative Property of Addition
Associative Property of Multiplication
Inverse of Addition
Inverse of Multiplication
3.)
2 3
1 
3 2
4.)
x+0=x
Solve.
x  8  21
Solve.
13 x  16
Solve.
1
5
x
2
7
Solve.
1 3
g 
3 5
Solve.
2x  3  7x  2
Solve.
3x  4  2x 10
Solve.
7  4y  2y  31
Solve.
3z  5  2z  30
Solve.
3x  7   10
Solve.
5 2x  7   85
Solve.
2  3x  5 x  6 
Solve.
4x  3  5 x  3
Solve.
5m  3m  3  3m  3
Solve.
2m  5 m  3  2 m  3
Solve.
x  9  2 x 1 2
Solve.
x 1  4  6 x 1
Solve for the
indicated variable.
A = bh, for b
Solve for the
indicated variable.
P=2l + 2w, for w
Solve for the
indicated variable.
y = mx + b, for x
Solve for the
indicated variable.
-2x + 4y = 8, for y
Solve for the
indicated variable.
-x – y + 5 = 0 for x
x0
Graph the inequality:
Graph the inequality:
x9
Graph the inequality:
x  2
Graph the inequality:
x 1
Graph the inequality:
6  x  0
Graph the inequality:
2x5
Graph the inequality:
8  x  6
Graph the inequality:
7  x  4
Graph the inequality:
x  1 OR x  10
Graph the inequality:
x  4 AND x  10
Graph the inequality:
x  1 OR x  11
Graph the inequality:
x  3 AND x  10
Solve and graph the
inequality:
-4 + 2x – x > 3
Solve and graph the
inequality:
-5x + 3 < 6 – 4x
Solve and graph the
inequality:
x
5   6
4
Solve and graph the
inequality:
0  2x  4  12
Solve and graph the
inequality:
x3 5
Solve and graph the
inequality:
x  2  10
What is this number as a
decimal?
1
5
3
What is 9.56 as a percent?
What is 0.56 as a fraction?
2 is what percent of 40?
What percent of 12 is 4?
What is 85% of 200?
Solve:
x x4

2
4
Solve:
3
2

x2 x
Solve:
10 3

15 x
Jake can read 20 pages in 1
hour. At this rate, how many
hours will it take him to read a
240 pages?
What is the slope of the line
containing the points (-5, 6)
and
(-5, -7)?
What is the slope of the line
containing the points (2,9) and
(3, -9)?
What is the slope of the line
with the equation
y = – x - 12?
What is the slope of the line
with the equation
3 – 4y = 2x?
What is the y-intercept of the
line with the equation
x
2y  6 
2
What is the slope and yintercept of the line with the
equation:
y  3  (x  4)
Write the equation of the line
parallel to y = + 5 with a yintercept of
(0, -1).
Write the equation of the line
perpendicular to y = 2x - 6
with a y-intercept of (0, 2).