Question 1

Heather's first four exam grades are 95, 88, 82, and 85. What is the median of her grades?

Accepted Answer

$$86.5$$

Question 2

Heather wants to average $$80$$ across five exams. Her first four grades are $$95$$, $$88$$, $$82$$, and $$85. $$What is the minimum score she must earn on the fifth exam to achieve her goal?

Accepted Answer

$$50$$

Question 3

Which of the following numbers is NOT a natural number?

Accepted Answer

$$0$$

Question 4

Simplify the expression $$a - 2b + 6a - 6b - 3.$$

Accepted Answer

$$7a - 8b - 3$$

Question 5

Evaluate $$-4 + 3 - 1 + 12 \div 22$$ using the correct order of operations.

Accepted Answer

$$-1.455$$

Question 6

Which of the following is a rational number?

Accepted Answer

$$1.63$$

Question 7

A bank customer earns $$80 in $$interest after $$1$$ year on a $$\2000$ deposit. What was the simple interest rate?

Accepted Answer

$$4\%$$

Question 8

You drive $$25$$ miles in $$35$$ minutes. At the same speed, how long will it take to drive $$125$$ miles?

Accepted Answer

$$175$$ minutes

Question 9

Solve for $$x$$: $$56x - 2 = x - 3$$

Accepted Answer

$$x = -1$$

Question 10

Which set includes all the numbers $$-2, -3, -57, 0, 7, 3, 614, 77$$?

Accepted Answer

Integers

Question 11

Evaluate $$-7 - 56 \div 7 	imes 22 + 4$$ using the correct order of operations.

Accepted Answer

$$-179$$

Question 12

Which of the following is NOT a whole number?

Accepted Answer

$$-2$$

Question 13

Solve for $$x in $$terms of $$a$$, $$b$$, $$y$$, and $$c$$: $$ax + by + c = 0$$

Accepted Answer

$$x = -\dfrac{by + c}{a}$$

Question 14

Which of the following is an irrational number?

Accepted Answer

$$\pi$$

Question 15

If $$9x = 3 - 15$$, what is the value of $$x$$?

Accepted Answer

$$x = -\dfrac{4}{9}$$

Question 16

Which of the following best describes the set of all numbers listed: $$-2, -3, -57, 0, 1.63, 7, 3, 614, 77$$?

Accepted Answer

Real numbers

Question 17

What is the mean (average) of Heather's first four exam grades: $$95$$, $$88$$, $$82$$, $$85$$?

Accepted Answer

$$87.5$$

Question 18

Which of the following expressions is equivalent to $$2x - 3 - 2x + 4$$?

Accepted Answer

$$1$$

Question 19

A student multiplies $$38 by$$ $$1011. $$What is the correct product?

Accepted Answer

$$38,418$$

Question 20

Which of the following is the correct value for $$538 \div 114$$ rounded to two decimal places?

Accepted Answer

$$4.72$$

Algebra Study Guide: Central Tendency, Arithmetic, Number Sets, Order of Operations, Simplifying, Interest, Speed, and Solving Equations

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