Download Midterm Review

Algebra 1 Part 1
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Midterm Review
Date________________ Period____
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Evaluate each expression.
1) 6 + 2 ⋅ 3 − 1 − 6
2) 5 ⋅ 2 − 3 + 3 + 3
3) (7 ⋅ 2 − (1 + 1)) ÷ 3
4) 2 + (13 − 6 + 11) ÷ 3
Write each as a verbal expression.
5) b + 11
7)
n
2
6) x ⋅ 7
8) 30 − n
Write each as an algebraic expression.
9) a number squared is equal to 24
10) 5 more than t is 46
11) x increased by 12 is 11
12) 10 less than m is equal to 26
13) the quotient of a number and 3 is 10
14) the difference of b and 5 is 50
15) half of r is 26
16) k squared
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Worksheet by Kuta Software LLC
Simplify each expression.
17) 4 x + 10 − 1 + 6 x
18) k − 3 − 10k + 2
19) −5(7 x + 7) − 2 x
20) 8 − 5(1 + 2k)
21) 7(n − 8) + 4n
22) 6( x − 7) − 4
Solve each equation. Show your work!
23) −10 x = 0
25) −26 =
x
22
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24) k − 8 = 4
26) 16 = −5 + v
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Worksheet by Kuta Software LLC
Solve each equation.Show your work!
27) 5 + 4 p = −19
29)
x
− 5 = −7
2
28) −4 + 2n = 10
30)
x
− 1 = −2
9
Solve each word problem. Write an equation, and put your answer in a sentence!
31) After paying $5 for a salad, Norachai has $27.
With how much money did he start?
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32) Find the price of one toy car if three toy cars
cost $24.
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Worksheet by Kuta Software LLC
33) Matt ran 16 miles more than Kayla last week.
Matt ran 35 miles. How many miles did Kayla
run?
34) Alberto and his best friend found some money
buried in a field. They split the money evenly,
each getting $21. How much money did they
find?
Solve each equation. Show your work.
35) 13 + 7m = 8 + 6m
36) 2 x − 5 = −7 + 3 x
37) 7 − 8m − 4m = −2 + 3m − 6m
38) −6 + v + 4 − 8v = 4 − 6v
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Worksheet by Kuta Software LLC
39) 2 + 7n = 1 + 4n + 1
40) 7 + 6n = −5 − 4n + 8n
Solve each word problem. Write an equation, and put your answer in a sentence!
41) 197 students went on a field trip. Seven buses
were filled and 15 students traveled in cars.
How many students were in each bus?
42) Stephanie won 99 pieces of gum playing the
bean bag toss at the county fair. At school she
gave three to every student in her math class.
She only has 9 remaining. How many students
are in her class?
43) Half of your baseball card collection got wet
and was ruined. You bought 17 cards to
replace some that were lost. How many did
you begin with if you now have 30?
44) Emily spent half of her weekly allowance
playing arcade games. To earn more money
her parents let her wash the car for $4. What
is her weekly allowance if she ended with $12?
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Worksheet by Kuta Software LLC
Solve each equation. Show your work.
45) 154 = −7(3a − 1)
46) 194 = −8(8 − 5n) + 3n
47) 8(k − 2) + 8k = −16 + 5k
48) 4m − 7(m + 2) = −5 + 2(m + 3)
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Worksheet by Kuta Software LLC
Solve each word problem. Write an equation, and put your answer in a sentence!
49) Find the largest of 3 consecutive odd numbers
who sum is -819.
50) Find the middle integer of 3 consecutive even
integers who sum is 270.
51) Find three consecutive integers such that three
times the third is 102 more than the sum of the
first and second.
52) There are three consecutive integers such that
triple the second is thirty-five more than the
sum of the first and third. What is the middle
integer?
53) Find three consecutive odd integers who sum is
195.
54) Find three consecutive integers such that the
sum of twice the first and the third is seven
more than the second.
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Worksheet by Kuta Software LLC
Solve each proportion. Show your work.
55)
a
7
=
10 9
56)
3 5
=
6 n
57)
9 m−3
=
5
2
58)
8 r+1
=
9
2
59)
2
6
=
x−8 x
60)
b−7 6
=
b
8
61)
v+9 v+3
=
3
8
62)
8
10
=
r+5 r−3
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Worksheet by Kuta Software LLC