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Algebra 1 Midterm
Review
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TRANSLATE EACH SENTENCE:
“5 times a number minus 4”
Three less than a number is 14
5x  4
x  3  14
The sum of 4 times a number and negative 3

4x  (3)
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

Find the value of each expression:
Order of Operations PEMDAS
4(5  3) 12
4  (36  9)  3 4
4(2) 12
4  (4)  3 4
8 12

4
4  (4) 12
8 12

4


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Evaluate each expression if r = 8
and s = -5.
2(r  s)
r
2((8)  (5))
(8) 
2(3)
6


(8)
8
3

4 
3(2s  r )
s  2r
2
3(2(5)  (8) 2 ) 3(10  64)
(5)  2(8)
(5)  2(8)
3(74)
(5)
  2(8)
222
21

222
(5) 16
74
7
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Name the property shown by the
statement:
(2  3)  4  2  (3 4)
xy  yx
ASSOCIATIVE
COMMUNATIVE
5 4  45
COMMUNATIVE


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Simplify each expression
2(3k  4 j)  3k
6k  8 j  3k
3k  8 j


4(a  2b)  3(2a  5b)
4a 8b 6a 15b
2a  23b
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
Distance traveled d equals the
product of the rate r and the time t.
Given the rate and time traveled,
find the distance traveled:
d rt
1. Rate = 15 miles per hour
Time = 3 hours
2. Rate = 36 miles per hour
time = 1.5 hours
d  (15)(3)
d  (36)(1.5)
d  45miles
d  54miles
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Annie buys a pair of pants for $25
and several t-shirts for $8 each.
Write an expression for her total
cost if she buys n t-shirts.
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Name the ordered pair for each
letter, and what quadrant:
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What is the value of t in each
equation:
1.
4
t  3
5


2. 2
3
t  16

3.
9
t  27
2
4.

4
t  40
5
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Which value of “n” makes each
equation true:
1. 6n  8  3n 12
2.
n  2  3n  5

3.
4n  3n 11

4.
8  3n  6
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Evaluate each function if a = 4,
b = -1, and c = -2
(2ab)  3a

(4ac)  (3bc)  4
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Solve each equation:
1.
2x  3  4
2.
x  7  11
4.
3x  6  5x  4

3.
3x  4  2

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Solve each absolute equation:
1.
x 5 2
2.
a  7  11
4.
x 8 0

3.
x 10  4

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Do the following percent
problems:
1. What is 70% of 135
x
70

135 100
2. What percent is 48 of 96
is
%

of 100
96x  48(100)
70(135)  100x

x  94.5
48
x

96 100

x  50%
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What is the slope of each graph:
-2
3
m = -2/3
m=1
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What is the y-intercept of the
graph of each equation:
1. 3x – 6y = 12
2. x + 5y = -25
To find the y-intercept, you plug in ZERO FOR X
3(0) – 6y = 12
-6y = 12
-6
-6
(0) + 5y = -25
5y = -25
5
5
y = -2
y = -5
(0,-2)
(0,-5)
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Determine the slope of the line
through points given:
1. (4,-8) and (3,6)
2. (0,5) and (-3,-2)
y 2  y1 6  8 14
m


 14
x 2  x1
43
1
m

y 2  y1 2  5 7 7



x 2  x1 3  0 3 3
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Graph each equation:
2x – 4y = 12
x + 3y = -9
I WOULD GRAPH USING X AND Y INTERCEPTS