CCS ASPIRE Math Level D-Algebra Review

Expressions

100

Combine 3m - .43m=

2.57m

200

Combine 4d +.55d=

4.55 d

300

Multiply 3a(2a - 2)=

6a² -6a

400

Combine 4a-2b+2a²-5a=

2a² -a-2b

500

Find the equivalent expression 2a/4a

1/2 (Remember to reduce fraction)

Exponents and Roots

100

What is the square root of 169?

13

200

4²x4⁵=

4⁷

300

(1/3)³=

1/27

400

4^-2=

1/4²  or 1/16

500

a²/a⁴=

a^-2 or 1/a²

Equations 1

100

Solve for a   4a = 36

a=9

200

Solve for c   -5 + c = 13

18

300

Solve for c.  -4+8c=28

c=4

400

How do you solve to make 1y?  1/3y=9

Multiply by the inverse 3/1.

500

Substitute and solve. x=3   5x +1=

16

Inequalities

100

Solve.  4x<16

x<4

200

How do you show "or equal to" in an inequality?

Underline the inequality sign.

300

2x-2 is greater than or equal to 14. Would 8 be included in the solution set?

Yes.

400

When dividing or multiplying by a negative number, always ____the inequality sign.

reverse

500

Solve.  -5x+5 > -20

x<5

Linear Functions

100

In a linear function, for each input, there is only __output.

1

200

In a proportional relationship the line is straight and crosses _____.

0,0 or the origin

300

What is the y intercept in this function?  y=12x

0 The line starts at the origin.

400

What is the slope in this function? f_(x)=4x+3

4 (Remember y=mx+b--m is the slope.)

500

x  0    1    2    3
y  2    4    6    9
Do the values in this table make a linear function?   

No
In the last set of numbers the slope is not constant.