1. True or False: 4 is a solution for the equation 2x – 4 = 4.
2. Solve the equation and check the result.
5x + 2 = 4x – 7
A) {–1}
B) {–5}
C) {9}
D) {–9}
3. Solve the equation and check the result.
7x – 9 = 6x + 8
A) {–1}
B) {1}
C) {17}
D) {0}
4. Translate the English language statement to an algebraic equation. Let x represent the number.
8 times the difference of a number and 4 is 4 times that same number.
A) 8x – 4 = 4x
B) 8(x – 4) = 4x
C) 8(4 – x) = 4x
D) 8x + 4 = 4x
5. Solve the word problem. Be sure to show the equation you use for the solution.
To attend a friend's wedding, you must buy an airplane ticket and rent an automobile. If you can spend a total of $805 and the plane ticket will cost $425, how much can you spend on car rental?
A) $1,230; x + 425 = 380
B) $380; x + 425 = 805
C) $1,230; x = 805 + 425
D) $850; x + 805 = 425
6. True or false: 30 is a solution to the equation .
8. Simplify and then solve the equation. Express your answer in set notation.
8 – 2x = 2
A) {–11}
B) {3}
C) {–3}
D) {13}
13. A rectangular lawn has an area of 391 square feet (ft²). If the width of the lawn is 17 ft, what is the length? (A = lw)
A) 374 ft
B) 23 ft
C) 178.5 ft
D) 46 ft
14. Tickets for a school concert were sold at $12 for students and $20 for nonstudents. Total sales were $8,600, and 90 more student tickets were sold than nonstudent tickets. How many of each type of ticket were sold?
A) 325 student, 235 nonstudent
B) 350 student, 260 nonstudent
C) 235 student, 325 nonstudent
D) 375 student, 285 nonstudent
15. At 11:00 A.M., Michelle leaves on a trip at 42 mi/h. One hour later, Patricia decides to join her and leaves along the same route, traveling at 48 mi/h. At what time will Patricia catch up with Michelle?
A) 5:00 P.M.
B) 6:00 P.M.
C) 7:00 P.M.
D) 8:00 P.M.
16. Write the inequality in words.
A) x is less than 6
B) x is less than or equal to 6
C) x is greater than 6
D) x is greater than or equal to 6
21. Find the value of the expression.
|–37| – |23|
A) 14
B) 60
C) –14
D) –|14|
22. Solve the equation.
|x + 2| = 5
A) {–5,5}
B) {–3,3}
C) {–7,3}
D) {–3,7}
E) No solution
23. Solve the equation.
|x – 2| + 7 = 20
A) {–11, 15}
B) {–15, 11}
C) {–15, –11}
D) {11, 15}
24. Solve the compound inequality. Write the solution in set-builder notation.
–11 < 2x + 9 < 17
A) {x | –1 < x < 13}
B) {x | –20 < x < 8}
C) {x | –10 < x < 13}
D) {x | –10 < x < 4}