Pre-Algebra

10-1 Solving Two-Step Equations

CHAPTER 10 REVIEW

Pre-Algebra

10-1 Solving Two-Step Equations

Solve.

1. – 3 = 10

2. 7y + 25 = –24

3. –8.3 = –3.5x + 13.4

4. = 3

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?

Lesson Quiz

y = –7

x = –117

x = 6.2

y = 28

24 months

x–9

y + 5 11

Solve.

1. 6x + 3x – x + 9 = 33

2. –9 = 5x + 21 + 3x

3. + =

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?

Lesson Quiz 10-2

x = –3.75

x = 3

x = 2858

x8

33 8

6x 7

4. – =2x21

2521

$8.50

x = 1 916

Lesson Quiz 10-3

Solve.

1. 4x + 16 = 2x

2. 8x – 3 = 15 + 5x

3. 2(3x + 11) = 6x + 4

4. x = 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?

x = 6

x = –8

no solution

x = 3614

12

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

2. 7x + 9 < 3x – 15

3. w – 3w < 32

4. w +

x < –6

x > 4

w > –1623

14

12

w 38

1 2 3 4 5 6 7

-10 -9 -8 -7 -6 -5 -4

-18 -17 -16 -15 -14 -13 -12

0 38

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.

2. P = 2l+ 2w for l.

3. V = Ah for h.

4. R = for S.

C = R - P

C – Rt = S

13C – S

t

= h3VA

= lP – 2w2

Lesson Quiz: Part 2

5. Solve for y and graph 2x + 7y = 14.

y = – + 2 2x 7

y

4

2

–2

–4

2 4–2–4

Lesson Quiz

1. Determine if the ordered pair (2, 4) is a solution of the system. y = 2x; y = –4x + 12

Solve each system of equations.

2. y = 2x + 1; y = 4x

3. 6x – y = –15; 2x + 3y = 5

4. Two numbers have a some of 23 and a difference of 7. Find the two numbers.

yes

(–2,3)

15 and 8

( , 2)12