Math Exam Review

A savings account accrues interest at a rate of 7.0% yearly. If someone opens an account with $20,000, how much money would the account have after 4 years?

$26,215.92

Use substitution to solve the system of equations. 6x-3y=6 2x+5y=14

(2,2)

Without graphing, predict whether the function, y = 3(0.2)^x, shows exponential growth or decay. Justify your predictions. a. decay; because 0.2 < 1 c. growth; because 0.2 < 1 b. decay; because 0.2 > 1 d. growth; because 0.2 > 1

a.

Solve the system of equations using elimination. 2x - 3y = 9 3x + 2y = -6

a. (0,-3)

Using first and second differences, calculate the next three terms in the following sequence. 7, 9, 15, 26, 43, . . .

a. 67, 99, 140

Which of the following is equivalent to (3x + 2)(3x + 2)?

a. 9x^2+12x+4

Which of the following is a solution to the system of linear equations below? -2x+3y=3 x-6y=12

a. (-6,-3)

Remove the radical from the denominator below. Do not simplify the answer.

a. 8-4/2-2/3+/6 ----------------- 13

Which graph could be a solution for this system of linear equations? y = 2x + 1 y = -3x - 1

b.

Bob has 60 feet of fencing to enclose a rectangular garden. If one side of the garden is x feet long, he wants the other side to be (30 - x) feet wide. What value of x will give the largest area, in square feet, for the garden? A. 10 B. 15 C. 20 D. 13.33

b. 15

Combine the radicals below

b. -24

Find the 30th term of an arithmetic sequence whose first term is 2 and common difference is 5. A. 143 B. 147 C. 152 D. 157

b. 147

Factor the polynomial below. 20xyz+4y^2

b. 4y*(5xz+4y)

Solve the inequality

c.

Which of the following shows the solution for the system of linear equations? y = -3x + 2 y=1/2x-1/2

c.

3 1/3 * 9 1/3

c. 3

Combine like terms and classify the polynomial by the number of terms. 2x^2+8+3x^2+5x-9 A. trinomial B. monomial C. binomial D. pentomial

c. binomial

Combine like terms and classify the polynomial by the number of terms. 9xy - 3y + 6xy - 3y A. trinomial B. monomial C. binomial D. twonomial

c. binomial

Solve x^2 - 2x - 3 = 0 by graphing

c. x = -1, x = 3

Find an equation for the inverse of the function. g(x) = -2x − 7

d. -1/2x-7/2

Graph the function. Then state if the function represents exponential growth or exponential decay. y=32(1/2)^2

d. exponential decay

Which of the following statements best explains why the point (6, 2) is not a solution to the system of inequalities graphed below?

B. The point (6, 2) satisfies the blue inequality but not the red inequality.

Which of the following points is a solution to the system of linear inequalities? y<=2x+1 y>1/2-4

C. (2, 3)

Factor the following polynomial. 25x^2 - 16y^2

D. (5x - 4y)(5x + 4y)