Algebra 1 Spring Final Study Guide
Algebra 1 Spring Final Study Guide Algebra 1 Spring Final Study Guide
9. Subtract and simplify. Find the excluded values. a. b. c. d. ; ; and ; , and ; and 10. Ting can mow a lawn in 4 hours. Her boss, Renald, can mow the same lawn in 3 hours. How long will it take them to mow the lawn if they work together a. hours b. hours c. 1 hour d. hours 11. A chemist has 600 milliliters of a solution that is half acid. She needs a solution that is 70% acid. How many milliliters of acid she should add a. 300 mL b. 400 mL c. 500 mL d. 600 mL 12. A bullet train travels 30 miles per hour faster than a passenger train, and it takes the bullet train 3 hours less time to travel 400 miles. How long does it takes the passenger train to make the trip. a. 4 hours b. 6 hours c. 8 hours d. 10 hours 13. Solve . a. a = –29 b. a = 29 c. a = 15 d. a = –15 14. Solve . a. b. c. d. 15. Solve . Check your answer. a. x = 6 b. x = 8 c. x = 5 d. x = 7 16. Solve . a. b. c. d. 17. Solve . a. = 4 b. = –11 c. = –1 d. = 5 18. Solve the proportion . a. x = 36 b. x = 26 c. x = 0.03 d. x = 25 19.Solve the inequality a. p ≤ –8 –10 –8 b. p ≥ –8 –10 c. p ≤ 8 –10 d. p ≥ 8 –10 –8 –8 –8 –6 –6 –6 –6 –4 –4 –4 –4 –2 –2 –2 –2 ≥ 4 and graph the solutions. 0 2 4 6 8 10 0 2 4 6 8 10 0 2 4 6 8 10 0 2 4 6 8 10 20. Mrs. Williams is deciding between two field trips for her class. The Science Center charges $135 plus $3 per student. The Dino Discovery Museum simply charges $6 per student. For how many students will the Science Center charge less than the Dino Discovery Museum a. 132 or more students b. 132 or fewer students c. More than 45 students d. Fewer than 45 students
21. Solve and graph the solutions of the compound inequality . a. AND b. AND c. AND d. AND 22. Solve the inequality. 0 1 2 3 4 5 0 1 2 3 4 5 0 1 2 3 4 5 0 1 2 3 4 5 a. The solution set is . b. The solution set is . c. The solution set is OR . d. The solution set is all real numbers. 23. Give the domain and range of the relation. 6 4 2 y 2 4 6 x a. D: 0 ≤ x ≤ 7; R: 1 ≤ y ≤ 7 b. D: 1 ≤ x ≤ 6; R: 1 ≤ y ≤ 7 c. D: 2 ≤ x ≤ 6; R: 4 ≤ y ≤ 7 d. D: 1 ≤ x ≤ 7; R: 1 ≤ y ≤ 6 24. For , find when x = –1. a. –2 b. 6 c. –4 d. 2 25. Find the x- and y-intercepts of . a. x-intercept: −11, y-intercept: 4 b. x-intercept: −11, y-intercept: 3 c. x-intercept: –8, y-intercept: 3 d. x-intercept: –8, y-intercept: 4 26.Find the slope of the line that contains and . − 11 a. 3 c. − 3 Hint: 11 ∆y − 3 b. 5 d. − 5 y = 3 ∆x d. x = 2y + 3 2 27. Tell whether the slope of the line is positive, negative, zero, or undefined. y 5 4 3 2 1 –5 –4 –3 –2 –1 –1 1 2 3 4 5 x –2 –3 –4 –5 a. negative c. undefined b. positive d. zero 28. Tell whether the relation is a direct variation. Explain. x –10 –9 1 y 20 18 –2 a. This is a direct variation, because it can be written as , where k = . b. This is not a direct variation, because it cannot be written in the form . c. This is a direct variation, because it can be written as , where . d. This is a direct variation, because it can be written as , where k = –2. 29. Write the equation that describes the line with slope = 2 and y-intercept = 3 in slope-intercept form. 2 a. 2x + y = 3 2 b. y = 3 x + 2 2 c. y = 2x + 3 2
- Page 1: Algebra 1 Spring Final Study Guide
- Page 5 and 6: 41. Simplify . a. − b. − c. - d
- Page 7 and 8: 58. The scatter plot shows the rela
- Page 9: 60. 5 4 y 10 8 6 4 2 y 3 2 1 -5 -4
21. Solve and graph the solutions of the compound<br />
inequality .<br />
a. AND<br />
b. AND<br />
c. AND<br />
d. AND<br />
22. Solve the inequality.<br />
0 1 2 3 4 5<br />
0 1 2 3 4 5<br />
0 1 2 3 4 5<br />
0 1 2 3 4 5<br />
a. The solution set is .<br />
b. The solution set is .<br />
c. The solution set is OR .<br />
d. The solution set is all real numbers.<br />
23. Give the domain and range of the relation.<br />
6<br />
4<br />
2<br />
y<br />
2 4 6 x<br />
a. D: 0 ≤ x ≤ 7; R: 1 ≤ y ≤ 7<br />
b. D: 1 ≤ x ≤ 6; R: 1 ≤ y ≤ 7<br />
c. D: 2 ≤ x ≤ 6; R: 4 ≤ y ≤ 7<br />
d. D: 1 ≤ x ≤ 7; R: 1 ≤ y ≤ 6<br />
24. For , find when x = –1.<br />
a. –2<br />
b. 6<br />
c. –4<br />
d. 2<br />
25. Find the x- and y-intercepts of .<br />
a. x-intercept: −11, y-intercept: 4<br />
b. x-intercept: −11, y-intercept: 3<br />
c. x-intercept: –8, y-intercept: 3<br />
d. x-intercept: –8, y-intercept: 4<br />
26.Find the slope of the line that contains and<br />
.<br />
− 11<br />
a.<br />
3<br />
c. − 3 Hint:<br />
11<br />
∆y<br />
− 3<br />
b.<br />
5<br />
d. − 5 y =<br />
3<br />
∆x<br />
d. x = 2y + 3 2<br />
27. Tell whether the slope of the line is positive,<br />
negative, zero, or undefined.<br />
y<br />
5<br />
4<br />
3<br />
2<br />
1<br />
–5 –4 –3 –2 –1<br />
–1<br />
1 2 3 4 5 x<br />
–2<br />
–3<br />
–4<br />
–5<br />
a. negative c. undefined<br />
b. positive d. zero<br />
28. Tell whether the relation is a direct variation.<br />
Explain.<br />
x –10 –9 1<br />
y 20 18 –2<br />
a. This is a direct variation, because it can be<br />
written as , where k = .<br />
b. This is not a direct variation, because it cannot<br />
be written in the form .<br />
c. This is a direct variation, because it can be<br />
written as , where .<br />
d. This is a direct variation, because it can be<br />
written as , where k = –2.<br />
29. Write the equation that describes the line with slope<br />
= 2 and y-intercept = 3 in slope-intercept form.<br />
2<br />
a. 2x + y = 3 2<br />
b. y = 3 x + 2 2<br />
c. y = 2x + 3 2
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