Algebra I !!

Define this:

100

A symbol, usually a letter, that represents a number whose value may be unknown or can change.

Variable

200

The numerical factor multiplied by a variable in an algebraic term.

Coefficient

300

A mathematical statement showing that two expressions are equal.

EQUATION

400

In the equation below, ONLY identify the parts where Distributive Property must be used.

124x⁴+135x³−150(3x²−8x4)+225x⁵−175=320x³+140(2x⁴+9x²)−110x⁵+250

−150(3x²−8x⁴) and 140(2x⁴ + 9x²) 

500

Create two like terms with different coefficients:

Example:

4x+9x

Solving Equations & Expressions

100

x + 17 = 42

25

200

6x − 8 = 40

x=8

300

9x + 14 = 5x + 46

x=8

400

Solve this expression:

2x²+4x−5 when x=3

25

500

5(3x − 4) − 7 = 2(x + 6) + 26

x=5

Miscellaneous <3

100

Which is an expression: 5x+125x + 12 or 5x+12=325x + 12 = 32?

5x+125x + 12

200

Identify the coefficients:

8x+5y−3z+12

8, 5, and -3

300

A student says:

 6(x−4) = 6x−4

 What mistake did they make and what's the correct answer?

They did not distribute the 6 to both terms. It should be 6x-24. 

400

Translate into an equation: 

Seven more than three times a number is 31.

3x+7=31

500

Which equation does NOT have x=4x=4 as a solution?
A. 3x+5=173x+5=17
B. 5x−8=125x-8=12
C. 2(x+3)=142(x+3)=14
D. 4x+2=20

D