Question 1

Evaluate the expression $$\frac{7x - 11y}{x + 8}$$ for $$x = 7$$ and $$y = 4. $$What is the result?

Accepted Answer

$$\frac{1}{3}$$

Question 2

Which of the following demonstrates the associative property for $$(4x + 4y) + 2z$$?

Accepted Answer

$$4x + (4y + 2z)$$

Question 3

Which of the following uses the commutative property to rewrite $$6 + x$$?

Accepted Answer

$$x + 6$$

Question 4

Solve the equation $$-7x + 6 + 3x + 3 = 1$$ for $$x.$$

Accepted Answer

$$2$$

Question 5

Solve $$(y - 3) - (y + 9) = 8y$$ for $$y.$$

Accepted Answer

$$-\frac{3}{2}$$

Question 6

Solve $$-\frac{1}{2}x = -1$$ for $$x.$$

Accepted Answer

$$2$$

Question 7

Solve $$\frac{3(y - 2)}{5} = 1 - 3y$$ for $$y.$$

Accepted Answer

$$\frac{11}{18}$$

Question 8

What is the solution set for $$6(x + 6) = 6x + 36$$?

Accepted Answer

All real numbers

Question 9

Ted drove 294 miles in 8 hours to his grandparents' house. What was his average speed (rounded to the nearest whole number)?

Accepted Answer

37 mph

Question 10

The sum of three consecutive integers is 570. What are the integers?

Accepted Answer

189, 190, 191

Question 11

A candy shop manager mixes chocolate covered peanuts ($$7 per pound) $$with $$70$$ pounds of chocolate covered cashews ($$11 per pound) to $$make a mixture selling for $$8$$ per pound. How many pounds of peanuts should be used?

Accepted Answer

210 pounds

Question 12

Evaluate $$-6^2.$$

Accepted Answer

$$-36$$

Question 13

Simplify the expression $$21 - [5 + (9 - 2)] - (5 - 3)^3$.

Accepted Answer

$$1$$

Question 14

Remove parentheses and simplify: $$(2x - 5y + 7) - 2(-2x + 5y - 7).$$

Accepted Answer

$$6x - 15y + 21$$

Question 15

Subtract: $$10 - 11.$$

Accepted Answer

$$-1$$

Question 16

Solve for $$C in$$ $$F = \frac{9}{5}C + 32.$$

Accepted Answer

$$C = \frac{5}{9}(F - 32)$$

Question 17

Add: $$9 + (-7).$$

Accepted Answer

$$2$$

Question 18

Divide: $$-\frac{1}{2} \div -\frac{6}{13}.$$

Accepted Answer

$$\frac{13}{12}$$

Question 19

Solve the inequality $$-20x + 20 \leq -4(4x - 9). $$What is the solution set?

Accepted Answer

$$\{x \mid x \geq -4\}$$

Question 20

A student mixes 210 pounds of peanuts with 70 pounds of cashews to make a mixture. If the peanuts cost $$7 per pound$$ and cashews $$11 per pound$$, what is the average cost per pound of the mixture?

Accepted Answer

$$8$$

Preparatory Algebra Midterm Study Guidance

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