Question 1

A number minus 19 is equal to 41. What is the number?

Accepted Answer

$$n = 60$$

Question 2

Twice the sum of a number and 23 is 46. What is the number?

Accepted Answer

$$n = 0$$

Question 3

Three times a number is the same as the difference of 5 and the number. What is the number?

Accepted Answer

$$n = -7$$

Question 4

The sum of a number and 21 is less than 22 less than twice the number. Which inequality represents this situation?

Accepted Answer

$$n + 21 \u003c 2n - 22$$

Question 5

The sum of two consecutive odd integers is 52. What are the integers?

Accepted Answer

$$23$$ and $$25$$

Question 6

Five times the sum of three consecutive even integers is no more than 10 times the smallest. Which inequality models this?

Accepted Answer

$$5(x + x+2 + x+4) \leq 10x$$

Question 7

A rope is 54 inches long and must be cut into three pieces so that one piece is twice as long as another. If $$x is $$the length of the shortest piece, what is the length of the longest piece?

Accepted Answer

$$3x$$

Question 8

Recently, sales at eBay were 1.8 billion less than sales at Amazon. If their combined sales were 6.5 billion, what were Amazon's sales?

Accepted Answer

$$A = 4.15$$ billion

Question 9

A student answered 9 out of 10 questions correctly on a quiz. What percent did the student get correct?

Accepted Answer

$$90\%$$

Question 10

Pat purchased four new tires that were regularly priced at $$99.49 each, but one was on sale for 20 $$off. If the sales tax is $$0.08 (8$$%), what is the total cost?

Accepted Answer

$$371.96$$

Question 11

There were 21,000 cases of a disease diagnosed out of 420,000 cancer cases. What percent is this?

Accepted Answer

$$0.5\%$$

Question 12

If Andrea borrowed $2000 at 7.5% simple interest for 2 years, how much interest will she pay?

Accepted Answer

$$I = 300$$

Question 13

Solve for $$b in $$the formula $$P = a + b. $$What is $$b$$?

Accepted Answer

$$b = P - a$$

Question 14

The perimeter of a rectangular pool is 140 yards. If the length is 20 yards less than twice the width, what is the width?

Accepted Answer

$$w = 30$$ yards

Question 15

Two angles are complementary. One angle is 20° less than the other. What are their measures?

Accepted Answer

$$x = 35°, x+20 = 55°$$

Question 16

The sum of the angles inside a triangle is 180°. If the smallest angle is 90° less than the largest angle, and the middle angle measures 10° more than the smallest, what are the measures of each angle?

Accepted Answer

$$110°, 20°, 50°$$

Question 17

What is the circumference of a circle with diameter $$d = 10$$ meters?

Accepted Answer

$$C = 31.4 m$$

Question 18

A bus travels 60 miles in the same amount of time a car travels 80 miles. If the car's rate is 20 mph faster than the bus, what is the speed of the car?

Accepted Answer

$$r = 80$$ mph$

Question 19

Solve the inequality $$2x + 5 \u003e 9.$$

Accepted Answer

$$x \u003e 2$$

Beginning Algebra: Word Problems, Linear Equations, Percents, Geometry, and Inequalities

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