Algebra 1 Semester 2 Review

Exponential

100

What is the domain of all exponential functions?

All real numbers. 

200

Draw a graph that is exponential decay.

Curve

300

What is the y intercept of the graph y=2^x+7

(0,8)

400

What is the range of y=2^x+7

y>7

500

What is the asymptote of y=2^x+7

y=7

Vocabulary

100

What is the word when the highest exponent is three? 

cubic

200

What do you call something with three terms? 

trinomial

300

Classify the polynomial 8x²+2x

quadratic binomial

400

Classify the polynomial. 3

constant monomial

500

Classify the polynomial. 4x⁴+7x³-15x+9

quartic trinomial

Multiplication

100

Distribute. 2x(x+5)

2x²+10x

200

Foil. (x+7)(x+4)

x²+11x+28

300

Foil. (x-1)(x-5)

x²-6x+5

400

Distribute. -5x²(x⁷-9x²+1)

-5x⁹+45x⁴-5x² 

500

Foil. (2x+1)(2x-1)

4x²-1 

Factor

100

Factor the GCF. 4x+6

2(2x+3)

200

Factor the difference of squares. x²-9 

(x-3)(x+3)

300

Factor the trinomial. x²+8x+15

(x+5)(x+3)

400

Factor the trinomial x²-3x-10

(x-5)(x+2)

500

Factor the GCF. 15x³+6x²

3x²(5x+2) 

Quadratic

100

Draw a parabola with a maximum. 

curve

200

If the vertex of a parabola is (4,5) what is the axis of symmetry? 

x=4

300

Find the y intercept of the parabola y=x²+4x-1

(0,-1)

400

What is the range of the parabola x²+4x-1 

y≥-5 

500

Solve using the quadratic formula. x²+7x+12=0

x=-4,-3