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10-1 Solving Two-Step Equations
CHAPTER 10 REVIEW
Pre-Algebra
10-1 Solving Two-Step Equations
Solve.
Lesson Quiz
1. x – 3 = 10 x = –117
–9
2. 7y + 25 = –24 y = –7
3. –8.3 = –3.5x + 13.4 x = 6.2
4. y + 5 = 3 y = 28
11
5. The cost for a new cell phone plan is $39 per
month plus a one-time start-up fee of $78. If you
are charged $1014, how many months will the
contract last? 24 months
Pre-Algebra
Lesson Quiz 10-2
Solve.
1. 6x + 3x – x + 9 = 33 x = 3
2. –9 = 5x + 21 + 3x
3. 5 + x = 33
8
8
8
4. 6x – 2x = 25
7
21
21
x = –3.75
x = 28
9
x = 116
5. Linda is paid double her normal hourly rate for each
hour she works over 40 hours in a week. Last week
she worked 52 hours and earned $544. What is her
hourly rate? $8.50
Lesson Quiz 10-3
Solve.
1. 4x + 16 = 2x x = –8
2. 8x – 3 = 15 + 5x x = 6
3. 2(3x + 11) = 6x + 4 no solution
1
1
x = 36
4. 4 x = 2 x – 9
5. An apple has about 30 calories more than an
orange. Five oranges have about as many calories
as 3 apples. How many calories are in each?
An orange has 45 calories. An apple
has 75 calories.
WARM-UP
– left over from Friday because Lexi will
not let me forget 
An apple has about 30 calories more than an
orange. Five oranges have about as many
calories as 3 apples. How many calories are in
each?
An orange has 45 calories. An apple
has 75 calories.
Lesson Quiz: Part 1
Solve and graph.
1. 4x – 6 > 10
x>4
2. 7x + 9 < 3x – 15
x < –6
3. w – 3w < 32
w > –16
4. 2 w + 1  1
4
3
3
w
8
2
1
2
3
4
5
6
7
-10 -9
-8
-7
-6
-5 -4
-18 -17 -16
-15 -14 -13 -12
0
3
8
Lesson Quiz: Part 2
5. Antonio has budgeted an average of $45
a month for entertainment. For the first five
months of the year he has spent $48, $39,
$60, $48, and $33. How much 1 can
Antonio spend in the sixth month without
exceeding his average budget?
no more than $42
Lesson Quiz: Part 1
Solve for the indicated variable.
1. P = R – C for C.
C=R-P
2. P = 2l+ 2w for l. P – 2w= l
2
3V = h
3. V = 1 Ah for h.
3
A
4. R = C – S for S. C – Rt = S
t
Lesson Quiz: Part 2
5. Solve for y and graph 2x + 7y = 14.
y = – 2x + 2
7
y
4
2
–4
–2
2
–2
–4
4
Lesson Quiz
1. Determine if the ordered pair (2, 4) is a
solution of the system. y = 2x; y = –4x + 12
yes
Solve each system of equations.
1
(2 , 2)
3. 6x – y = –15; 2x + 3y = 5 (–2,3)
2. y = 2x + 1; y = 4x
4. Two numbers have a some of 23 and a
difference of 7. Find the two numbers.
15 and 8