Algebra 1 Semester Review

Solving Linear Equations

100

r+(-8)=10

r=18

200

(h+6)/5=2

h=4

300

10(2y+2)-y=2(8y-8)

y=-12

400

2(2t+4)=3/4(24-8t)

t=1

500

A cheetah is running 90 feet per second is 120 feet behind an antelope that is running 60 feet per second. How long will it take the cheetah to catch up to the antelope?

what is 4 Seconds?

Solving Linear Inequalities

100

Three is less than the sum of a number s and 4

3<s+4

200

1<s-8

s>9

300

You have $12 to buy five goldfish for your new tank. Write and solve an inequality that represents the prices you can pay per fish.

5p<12,p<2.4

400

2v-4>8

v>6

500

A ski shop sells skis with lengths ranging from 150 Centimeters to 220 centimeters. The shop says the length off the skis should be about 1.16 times a skier's heigh (in centimeters). Write and solve a compound inequality that represents the heights of skiers the shop does not provide for.

1.16h<150 or 1.15h>220; Height less than about 129.3 cm or greater than about 189.7 cm

Writing Linear Functions

100

Is this a function? (-2,2),(-1,2),(0,2),(1,0),(2,0)

Yes

200

What is the equation for standard form?

Ax+By=C

300

Find the intercepts: 3x+4y=12

x=4, y=3

400

Find the zero of the function: f(x)=2x+8

x=-4

500

A linear function h models a relationship in which the dependent variable increases 1 unit for every 5 units the independent variable decreases. The value of the function at 0 is 3. write the equation of the line?

y=1/5x+3

Systems of Equations

100

y=x-2

y=-x+4

(3,1)

200

6x-9=y

y=-3x

(1,-3)

300

5x+6y=50

5x-6y=-26

(4,5)

400

-x+y=1

x-y=1

No solution

500

You need to hire a catering company to serve meals to guests at a wedding reception. Company A charges $500 plus $20 per guest. Company B Charges $800 plus $16 per guest. For how many guests are the total costs the same at both companies?

75 guests

Exponential Functions

100

6.7⁰

1

200

3²_*3⁶

3⁸

300

(z⁴)^-3

1/z¹²

400

256^3/4

64

500

f(x)=3(2)^x

When x=-1

3/2