1

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

A) 3

B) 2

C) 0

D) 1

2

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

3

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

4

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

5

\$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) -6

B) 6

C) 8

D) -8

6

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\$

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

8

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

9

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 \$

10

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 $50 phones did they sell?

A) 73.63

B) 63.73

C) 76.33

D) 66.67