Algebra 1 Review

terms

100

what is it called when you add coefficients that are alike in a term?

combining like terms

200

What is it called when measuring the steepness of a line?

slope/finding slope

300

what moves a shape up, down, left, or right and is congruent?

translation

400

what method is used to solve systems of equations where you replace the variable from one question with an expression and another variable from another equation?

substitution

500

expressions where any two expressions are compared using <,>,≤ or ≥

linear inequalites

systems of equations

100

equation 1: 2x+y=5

equation 2: x-y=1

x=2

y=1

200

3x+2y=8

2x-y=1

x=10/7

y=13/7

300

2x+3y=8

4x-y=5

x=23/14

y=11/7

400

3x+2y=7

5x-4y=1

x=15/11

y=16/11

500

-2x+3y=-5

4x-y=6

x=13/10

y=-4/5

laws of exponents

100

what law/rule is being described; any number (excluding zero) raised to the power of zero is equal to 1

zero exponent rule

200

what law is being described; when a base raised to a power is being raised to another power, the exponent is multiplies and the base remains the same

power of a power

300

what law is being described; when a whole multiplication expressing is raised to a power

power of a product

400

what law is being decribed; the base must be written as its reciprocal to turn the exponent positive

negative exponent law

500

what law is being described; when the power of a quotient is the same as the power in all terms in the numerator and denominator raised individually

power of a quotient

multi-step equations

100

2x+5=13

x=4

200

3(x-4)=21

x=11

300

2(x+3)-4=10

x=4

400

2x+3(x-1)=4x-2

x=1

500

4(3x+2)-5(2x-1)=7

x=-3