Algebra Ch 1 Review

A farmer's total payment for tools and compost over the course of two years is $27,894. Write and solve an equation to find the payment for the second year if the first year's payment is $10,205.

10,205 + x = 27,894 answer: $17,689

A farmer's total payment for tools and compost over the course of two years is $21,894. Write and solve an equation to find the payment for the second year if the first year's payment is $10,955.

10,955 + x = 21,894 answer: $10,939

A farmer's total payment for tools and compost over the course of two years is $24,394. Write and solve an equation to find the payment for the second year if the first year's payment is $11,955.

11,955 + x = 24,395 answer: $12,439

A startup software company's total investment for the first two years is $24,894. Write and solve an equation to find the investment for the second year if the first year's investment is $13,205.

13,205 + x = 24,894 answer: $11,689

Julia's class has collected 171 cans in a food drive. They plan to sort the cans into p bags, with an equal number of cans in each bag. Write an expression to show how many cans there will be in each bag.

171/y

Evaluate the expression xy for x = 7 and y = 3

21

Evaluate the expression xy for x = 7 and y = 4

28

Ramona's class has collected 72 cans in a food drive. They plan to sort the cans into y bags, with an equal number of cans in each bag. Write an expression to show how many cans there will be in each bag.

72/y

|6x-4|+8=7

No solution

|x-6| +9 =7

No solution

Solve x -8 -8x = 2 - 7x - 10. Tell whether the equation has infinitely many solutions or no solutions.

Only one solution

The formula for the resistance of a conductor with voltage V and current I is r = v/i. Solve for V.

V = Ir

Solve 4x- z = y. For x

X= y+Z/4

Solve 9|x-5| = 36

X=9 or x=1

solve 3/7b = 69

b= 161

22b + 26 - 14b = 34

b=1

45c + 10 - 29c = 26

c=1

i/30 - 3/5 = 1/5

i = 24

Solve i/20 - 5/5 = 4/5

j= 36

2.4 = 3 (m+ 4)

m= -3.4

14m = 168

m= 12

Solve x-5-4x= 7-3x-12. Tell whether the equation has infinitely many solutions or no solutions.

only one solution

q- 3 = 18

q = 21

9q = 117

q= 13

z - 7 = 96

s= 103

Give two ways to write the algebraic expression a ÷ 3 in words.

the quotient of a and 3 a divided by 3

Give two ways to write the algebraic expression a ÷ 3 in words.

the quotient of y and 15 y divided by 15

5(1-2w) + 8w = 15

w= -5

8|x-4|=32

x=8 or x=0

solve 2/5z = 72

z= 72