Algebra 1A - Final Exam Review

Solving Equations

100

x - 6 = 13

x = 19

200

6x = -42

x = -7

300

2x-5=17

x = 11

400

abs(x-7)=10

x = 17 and x = -3

500

(2x-3)/5=-1

x=-1

Solving Inequalities

100

Write the phrase as an inequality.

a number plus 5 is less than 10 

x + 5 < 10

200

Solve and Graph

x - 5 > 9

x > 14

300

Solve and Graph

-10x < 100

x>-10

400

Solve and Graph 

3x-1>11

x>4

500

3(2x-4)>2(6x+2)

NO Solution

Graphing Equations

100

Find the slope.

(2,1) and (-3,5)

m = -4/5

200

Find the x and y intercepts

3x - 2y = 12

X intercept : 4

Y intercept: -6

300

Graph the line

y = 2x + 1

SHOW GRAPH

400

Evaluate the function for x = 7

f(x)=2x-5

f(x) = 9

500

You are going to the fair and have $16 to spend on rides and games. Ride tickets cost $4 and game tickets cost $2. The equation 4x + 2y = 16 models the situation, where x is the number of ride tickets you buy, and y is the number of game tickets you buy.

Find and interpret the intercepts

X intercept : x = 4 (4 rides and 0 games)

Y Intercept : y = 8 (0 rides and 8 games)