 # Mathematics Questions

Subject Mathematics Pre-Calculus

## Question

QUESTION 1
Solve using the elimination method. Use a graphing calculator to check your answer.
x - 4y = 28
4x - 5y = 46
(4, -6)
(-4, -5)
(3, -5)
No solution

QUESTION 2
Solve using the substitution method. Use a graphing calculator to check your answer.
x - 5y = 20
x = y + 8
(5, -3)
(-10, 2)
No solution
Infinitely many solutions

QUESTION 3
Solve.
A lumber yard has fixed costs of \$4033.80 per day and variable costs of \$0.3 per board-foot produced. Lumber sells for \$2.10 per board-foot. How many board-feet must be produced and sold daily to break even?
2241 board-feet
1494 board-feet
1680 board-feet
13,446 board-feet

QUESTION 4
Solve.
Find the equilibrium point for the given supply and demand functions. Here y represents price and x represents quantity.
y = 438 - 2x (demand)
y = 2x - 234 (supply)
168, \$102
102, \$168
436, \$236
-234, \$438

QUESTION 5
Solve the problem.
A car rental company charges \$33 per day to rent a particular type of car and \$0.18 per mile. Juan is charged \$61.44 for a   rental. How many miles did he drive?
173 mi
308 mi
158 mi
341 mi

QUESTION 6
Solve the problem.
A construction company builds a swimming pool with a perimeter of 56 m. The length is 10 m more than the width. Find the dimensions of the swimming pool?
19 m × 9 m
24 m × 9 m
19 m × 10 m
14 m × 9 m

QUESTION 7
Solve graphically.
3x + y = 9
(3, 2)
(3, -2)
(-2, 3)
(2, 3)

QUESTION 8
Solve using the elimination method. Use a graphing calculator to check your answer.
-6x - 4y = 16
4x - 2y = 8
(0, -3)
(-1, -3)
(0, -4)
No solution

QUESTION 9
Solve graphically.
3x + 4y = 1
(-5, 4)
(-7, 5)
(4, -6)

QUESTION 10
Solve using the substitution method. Use a graphing calculator to check your answer.
x + y = 3
x - y = -15
(6, 10)
(-7, 10)
(-6, 9)
No solution

QUESTION 11
Solve the system of equations by elimination, if a solution exists.
x = 1, y = 6
No solution
x = 0, y = 7
x = -7, y = 0

QUESTION 12
Solve.
Find the equilibrium point for the given supply and demand functions. Here y represents price and x represents quantity.
y = 3780 - 70x (demand)
y = 110x (supply)
40, \$980
34, \$1400
21, \$2310
40, \$2310

## Solution Preview

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Question 1: The answer is (4, -6)
Question 2: The answer is (5, -3)...

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