Question 1

Evaluate $$8 + 6x$$ for $$x = 5.$$

Accepted Answer

$$38$$

Question 2

If $$x = 3$$ and $$y = 8$$, what is the value of $$3x - y$$?

Accepted Answer

$$1$$

Question 3

Given $$C = \frac{5}{9}(F - 32)$$, what is the Celsius temperature when $$F = 86$$?

Accepted Answer

$$30^\circC$

Question 4

A football is kicked vertically upward from a height of 4 feet with an initial speed of 60 ft/s. The height after $$t$$ seconds is $$h = 4 + 60t - 16t^2$. What is the height after 2 seconds?

Accepted Answer

$$60$$ feet

Question 5

Simplify the expression: $$5(3x - 2) + 12x.$$

Accepted Answer

$$27x - 10$$

Question 6

Write the English phrase as an algebraic expression and simplify: 'A number decreased by the sum of the number and four.'

Accepted Answer

$$-4$$

Question 7

Use the order of operations to simplify: $$8^2 - 16$$ \div $$2^2$$ \cdot 4 - 3$$.

Accepted Answer

$$49$$

Question 8

If $$x = -2$$ and $$y = 4$$, what is the value of $$\frac{xy}{2x}$$?

Accepted Answer

$$-1$$

Question 9

Simplify the expression: $$2(5x - 1) + 14x.$$

Accepted Answer

$$24x - 2$$

Question 10

Write the English phrase as an algebraic expression and simplify: 'Ten times the product of negative four and a number.'

Accepted Answer

$$-40x$$

Question 11

Simplify: $$18x^2 + 4$$ - [$$6(x^2 - 2) + 5$$]$$.

Accepted Answer

$$12x^2 - 13$

Question 12

Evaluate $$3x - 2y$$ for $$x = 8$$ and $$y = 2.$$

Accepted Answer

$$20$$

Question 13

Simplify: $$7 - 4[3 - (4y - 5)].$$

Accepted Answer

$$16y - 10$$

Question 14

Write the English phrase as an algebraic expression and simplify: 'Six times the product of negative five and a number.'

Accepted Answer

$$-30x$$

Question 15

Use the order of operations to simplify: $$10^2 - 100$$ \div $$5^2 - 2$$ \cdot 3$$.

Accepted Answer

$$88$$

Question 16

If $$x = 3$$ and $$y = 4$$, what is the value of $$x^2 - y$?

Accepted Answer

$$5$$

Question 17

Simplify: $$5(3y - 2) - (6y + 10).$$

Accepted Answer

$$9y - 20$$

Question 18

Write the English phrase as an algebraic expression and simplify: 'A number decreased by the difference between eight and the number.'

Accepted Answer

Question 19

Use the order of operations to simplify: $$\frac{5 - 6^2$}{8}.$$

Accepted Answer

$$-4.75$$

Question 20

If $$x = 8$$ and $$y = 2$$, what is the value of $$3(x - y)$$?

Accepted Answer

$$18$$

Precalculus Practice: Evaluating, Simplifying, and Translating Algebraic Expressions

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