Algebra 1 - Review for Quiz 2-2

Solving Literal Equations

100

Solve m - n = 5 for m

m = n + 5

200

Solve x/5 - g = a for x

x = 5(a + g)

300

Solve 2a + 2b = c for b

b = c - 2a 2

400

Solve y = mx + b for x

x = (y - b)/m

500

Solve s = (1/2)gt² for g

g = 2s/t²

More Solving Literal Equations

100

Solve D = m/V for V

V = m/D

200

Solve ax + r = 7 for r

r = 7 - ax

300

Solve 5 - b = 2t for t

t = (5 - b)/2

400

Solve 4y + 3x = 5 for x

x = (5 - 4y)/3

500

Solve v² = u² + 2as for s

s = (v² - u² )/2a

Word Problems (Two Numbers)

100

The larger of two numbers is seven less than three times the smaller number. If the sum of the numbers is 61, find the numbers.

17 and 44

200

The larger of two numbers is twice the smaller number. If 12 is subtracted from the larger number, the result is 7 more than the smaller number. Find the numbers.

19 and 38

300

Jacob is 42 inches taller than Austin. When added together, Jacob and Austins heights total 154 inches. Find both of their heights. 

Jacob - 98 inches

Austin - 56 inches

400

Hailey has one dollar less than three times as much money as Brandon has. Together they have $179. How much money does Hailey have?

$134

500

The math club collected 24 more than twice the number of canned goods for donations than the science club. Altogether, the clubs collected 66 canned goods. How many did each club collect individually?

Math Club: 52 cans

Science Club: 14 cans

Word Problems (Consecutive)

100

If the sum of two consecutive numbers is 35, find the numbers.

17 and 18

200

Find two consecutive even integers whose sum is 186.

92 and 94

300

The sum of three consecutive odd numbers is 87. Find the numbers.

27, 29 and 31

400

Find two consecutive integers such that 3 times the larger is twice the smaller. Find the integers.

-2 and -3

500

Three consecutive even integers are such that the sum of the smallest and 3 times the second is 38 more than twice the third. Find the integers.

20, 22 and 24