Question 1

Which of the following is the correct first step when solving a word problem, according to the problem-solving strategy outlined in the notes?

Accepted Answer

List given information.

Question 2

The sum of two consecutive even integers is $$86. $$What are the integers?

Accepted Answer

$$42$$ and $$44$$

Question 3

A basketball court has a perimeter of $$200$$ feet. The length is $$6$$ feet longer than the width. What are the dimensions of the court?

Accepted Answer

$$50$$ feet by $$44$$ feet

Question 4

Melissa has a budget of $$500 for photographs. If each image costs 32.50$ plus a 75$ session fee, what is the maximum number of images she can buy without exceeding her budget?

Accepted Answer

$$11$$

Question 5

If the complement of angle $$x is$$ $$90 - x$$, what is the complement of a $$37^\	ext{o}$$ angle?

Accepted Answer

$$53^\	ext{o}$$

Question 6

Gabriella's weight decreased from $$150 to$$ $$135$$ pounds. What percent of her original weight did she lose?

Accepted Answer

$$15\%$$

Question 7

A tax-exempt organization receives a bill for $$242.65$$ after a $$5.5\%$$ sales tax is added. What was the original price before tax?

Accepted Answer

$$230$$

Question 8

Shawn drove for $$3$$ hours on a highway and $$1$$ hour on a side road. If his speed on the highway was $$20$$ mph faster than on the side road and he traveled $$220$$ miles in total, what was his speed on the side road?

Accepted Answer

$$40$$ mph

Question 9

Solve the inequality $$3x - 5 \u003c 10$$ and express the solution in interval notation.

Accepted Answer

$$(-\infty, 5)$$

Question 10

Which of the following is the correct set builder notation for the interval $$[2, 7)$$?

Accepted Answer

$$\{x \mid 2 \leq x \u003c 7\}$$

Question 11

If $$x is an $$odd integer, which of the following expressions represents the next consecutive odd integer?

Accepted Answer

$$x + 2$$

Question 12

The sum of three consecutive positive integers is $$837. $$What is the value of the largest integer?

Accepted Answer

$$280$$

Question 13

Which of the following inequalities represents the statement: 'Your weight, $$w$$, is greater than $$150$$ pounds'?

Accepted Answer

$$w \u003e 150$$

Question 14

Solve for $$x$$: $$2(x - 5) = 4x + 9$$

Accepted Answer

$$x = -9$$

Question 15

If $$x is an $$even integer, which of the following expressions represents the next consecutive even integer?

Accepted Answer

$$x + 2$$

Question 16

Which of the following is the correct interval notation for the solution set $$x \geq -3$$?

Accepted Answer

$$[-3, \infty)$$

Question 17

A triangle has angles in the ratio $$2:3:4. $$What are the measures of the angles?

Accepted Answer

$$40^\circ, 60^\circ, 80^\circ$$

Question 18

Financial aid stipulates tuition cannot exceed $$2500. If $$each class costs $$675$$ and there is a $$95$$ registration fee, what is the greatest number of classes Ted can take?

Accepted Answer

$$3$$

Question 19

Which of the following is the correct solution set for $$-1 \u003c x \leq 4 in $$interval notation?

Accepted Answer

$$(-1, 4]$$

Question 20

If $$x = 5$$, what is the supplement of angle $$x$$?

Accepted Answer

$$175^\circ$$

Beginning Algebra Study Notes: Solving Word Problems and Inequalities

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