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)