If 4x + y = 14 and 3x + 2y = 13, What is the value of x - y?

A) 3

B) 2

C) 0

D) 1

During a sunny afternoon, a boy with a height of 4 feet casts a shadow that is 10 feet in length. At the same time, in the same location, someone measures the shadow of a tree to be 30 feet long. What is the height of the tree? Solve by using a proportion.

A) 10 feet

B) 12 feet

C) 13 feet

D) 15 feet

A linear model estimates the population of a city from 1991 to 2015. The model estimates the population was 57 a thousand in 1991, 224 thousand in 2011, and x thousand in 2015. To the nearest whole number, what is the value of x?

A) 527 thousand

B) 572 thousand

C) 257 thousand

D) 275 thousand

Calculate the least whole number, which when subtracted from both the terms of the ratio 5:6 given a ratio less than 17:22.

A) 2

B) 3

C) 5

D) 6

\$y = 2x^2 - 21x + 64\$ and y = 3x + a In the given system of equations, a is a constant. The graphs of the equations in the given system intersect at exactly one point, (x, y), in the xy-plane. What is the value of x?

A) 8

B) 6

C) - 6

D) - 8

If \$2 (3x + 5) > 4x - 5 < 3x + 2\$; then x can take which of the following values?

A) \$- 15/2 < x < 7\$

B) \$15/2 < x < 7\$

C) \$- 15/2 > x < 7\$

D) \$- 15/2 > x > 7\$

y > 14
4x + y < 18
The point (x, 53)is a solution to the system of inequalities in the xy-plane. Which of the following could be the value of x?

A) - 5

B) 5

C) 9

D) - 9

y = \$-1/9 (x)\$
y = \$1/2 (x)\$
The solution to the given system of equations is (x, y). What is the value of x?

A) 2

B) 1

C) 0

D) 3

3(2x - 6) - 11 = 4(x - 3) + 6

If x is the solution to the equation above, what is the value of x - 3 ?

A) \$ 23/2 \$

B) \$ 17/2 \$

C) \$ 15/2 \$

D) \$ - 15/2 \$

A company sells two types of cell phones. The first type costs $50 each, and the second type costs $80 each. If the company sold a total of 100 phones and made $6000, how many of each type did they sell?

A) 73.63

B) 63.73

C) 76.33

D) 66.67