Algebra 1 Review

Solving Equations

100

6w=-54

w= -9

200

7d-1=13

d=2

300

14+2(4g-3)=40

g=4

400

40+14j=2(-4j-13)

j=-3

500

Brian bought six toy cars for $48. How much did he spend on each toy car?

$8

Literal Equations

100

Solve m/k = x for k

k=m/x

200

3/2 c - d = e

Solve for c

2/3(e+d)

300

t - 4s = -w

Solve for s

s=(w+t)/4

400

b = (d - f + g) / 3

Solve for d

d=3b+f-g

500

Shelly, Margie, and Alison are going to collect cans for a local shelter. Shelly collects three times as many cans as Margie. Alison collects three cans less than Shelly. If Alison’s cans plus twice Margie’s cans equals Shelly’s cans plus fifteen, how many cans did each person collect?  What equation did you use to solve?

3x-3+2x = 3x+15

Shelly= 27, Margie = 9, Allison = 24

Inequalities

100

Solve and graph the inequality.

2x < 18

x<9

Open circle on 9

Arrow points left

200

Solve and graph the inequality.

2h + 3 > 5

h > 1

open cicle 

arrow points right

300

List a phrase that represents each inequality in word form.

> - at least, exceeds, above, more than

< - up to, fewer than, under

< - at most, no more than, at most, maximum

> - as few as, minimum, at least, no less than

400

More than 300 cats were found in the Crazy Cat Lady’s backyard and barn. Write and graph an inequality to represent the situation.

c > 300 or 300< c

Open circle on 300

Arrow goes right

500

You must be at least 18 years old to vote in the Presidential election. Write and graph an inequality representing the situation.

18 < v or v > 18

Closed circle on 18

Arrow goes right

Linear Equations

100

Find the slope of the line that passes through: (-2, 4) and (5, 1)

(4 - 1) / (-2 - 5) = 3/-7

200

Write an equation in slope intercept form with slope 5 and y-intercept 4.

y=5x+4

300

Parallel, perpendicular, or neither?

y=3x-5

y=-1/3x+6

Perpendicular

400

Put the following function into slope-intercept form: 8x - y +13 = 4

y = 8x + 9

500

Write the equation for the line that passes through the points (-3, 4) and (1, 5) in slope intercept form.

y=1/4x+4.75

Systems of Equations

100

Find the solution to the system of equations by graphing.

y = 2x + 2 

y = x - 1

(-3, -4)

200

Solve the system of equations buy graphing.

x = 3 

y = 2x + 1

(3, 7)

300

Solve the system of equations.

4x + 2y = 8 

2x + y = 4

No solution

400

Solve the system of equations by substitution

2x – 3y = –2 

4x + y = 24

(5, 4)

500

Solve the system of equations with substitution.

x - 2y = -10 

3x - y = 0

(2, 6)