Semester 1 Final Review

Finding "x"

100

Which value of x will make this expression true?

6³ * 6^x = 6¹⁰

x = 7

200

Solve for x.

5x + 4 = x + 20

x = 4

300

Solve for x.

4(x - 6) = 36

x = 15

400

Solve for x. 

x - 3(7 - x) = -57

x = -9

500

If 2/3x + 7 = 23

x = 24

Exponents

100

(x^-5  * x⁷)^-6

1/x¹²

200

(x⁶)³ * x⁰

x¹⁸

300

15x^-3y⁴z⁵/5x^-2y²

3y²z⁵/x

400

(3x⁴)(6y⁸)/20x⁵y⁷

9y/10x

500

(4x^-3)(6y⁸)/26x^-2y⁷

12y/13x

Functions

100

If f(x) = 5x - 36, what is the value of f(6)

f(6) = -6

200

Suppose f(x) = 6x² - 3x, find f(-2)

f(-2) = 30

300

If x = -3 and y = 4, simplify the expression

4y² + x

61

400

If x = -2 and y = 5, simplify the expression

2y² + 2x

46

500

Solve for x.

2/5 + 2/3 = x/30

32

Equations of a line

100

What is the equation of the line?

y = 7/3x + 3

200

What is the equation of the line perpendicular to this one? 

a. y = -7/3x - 3  b. y = -3/7x - 3   c. y = 3/7x - 3

b. y = -3/7x - 3 (Switch signs, flip the fraction)

300

What is the equation of the line?

y = -3x + 5

400

Create table with the following points and then find the slope of the linear function.

(6,5) (9,14) (12,23) (15,32)

slope = 3

500

Name all the steps necessary to find the equation of a line given the points (4, -6) and (2, 4).

Answers may vary

Random

100

Estevan and Alex enter a math competition. The cost to rent a calculator is represented by the function 

c = 10 + 2h, where h is the number of hours of use and c is the total cost for h hours of use. How much does it cost to rent a calculator if they use a calculator for 3 hours?

$16

200

Solve for x.

3^9-x = 9^x

x = 3

300

(2x-5)(4x-3)  Use area model to multiply.

8x² - 26x + 15

400

7x(2x + 6)

14x² + 42x

500

Triangle QRS is graphed on the coordinate plane. Jasmine reflects this triangle across the x axis to create triangle Q'R'S'. What are the coordinates of Q'?

(-5,-6)