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Algebra 1 Final Exam

Multiple Choice
Identify the choice that best completes the statement or answers the question.
 

 1. 
Write an algebraic expression for the sum of a number and 8.
a.
 8x
c.
 x + 8
b.
 x – 8
d.
 x ¸ 8
 

 2. 
Evaluate 2k + m if k = 11 and m = 5.
a.
 32
c.
 27
b.
 216
d.
 18
 

 3. 
Evaluate 13 + 6 + 7 + 4.
a.
 2184
c.
 20
b.
 29
d.
 30
 

 4. 
Simplify 5(2g + 3).
a.
 10g + 3
c.
 10g + 15
b.
 7g + 3
d.
 7g + 8
 

 5. 
Solve x + 19 = 5.
a.
 24
c.
 –24
b.
 14
d.
 –14
 

 6. 
Solve 5n = 35.
a.
 30
c.
 40
b.
 7
d.
 165
 

 7. 
Solve the proportion mc007-1.jpg.
a.
 mc007-2.jpg
c.
 mc007-3.jpg
b.
 12
d.
 6
 

 8. 
Solve 4(t + 1) = 6t – 1.
a.
 mc008-1.jpg
c.
 0
b.
 1
d.
 mc008-2.jpg
 
 
Use the graph to answer each question.

nar001-1.jpg
 

 9. 
What is the domain of the relation?
a.
 {–1, 0, 1, 3}
c.
 {–2, –1, 0, 1, 2, 3}
b.
 {–2, 0, 1, 3}
d.
 {0, 1, 2, 3}
 

 10. 
What is the range of the relation?
a.
 {–1, 0, 1, 3}
c.
 {–2, –1, 0, 1, 2, 3}
b.
 {–2, 0, 1, 3}
d.
 {0, 1, 2, 3}
 

 11. 
Tickets to see a movie cost $5 for children and $8 for adults. The equation 5x + 8y = 80 represents the number of children (x) and adults (y) who can see the movie with $80. If no adults see the movie, how many children can see the movie with $80?
a.
 6
c.
 13
b.
 10
d.
 16
 

 12. 
Which table, mapping, or graph does not show the relation {(–1, 1), (1, 2), (2, –2), (4, 3)}?
a.
 mc012-1.jpg
c.
 mc012-3.jpg
b.
 mc012-2.jpg
d.
 mc012-4.jpg
 
 
Use the following information. The distance (d) a car travels in t hours is given by the function d = 55t.
 

 13. 
Find d when t = 5.
a.
 275
c.
 50
b.
 60
d.
 71
 

 14. 
Write an equation in function notation to describe this relationship.
a.
 f(t) = 55d
c.
 f(t) = 55t
b.
 f(d) = 55d
d.
 f(d) = 55t
 

 15. 
Which line shown is the graph of y = 2x + 4?

mc015-1.jpg
a.
 mc015-2.jpg
c.
 the x-axis
b.
 p
d.
 q
 

 16. 
If mc016-1.jpg, what is the value of h(–9)?
a.
 12
c.
 mc016-2.jpg
b.
 0
d.
 –12
 

 17. 
Determine which sequence is an arithmetic sequence.
a.
 3, 6, 12, 24, …
c.
 –7, –3, 1, 5, …
b.
 mc017-1.jpg
d.
 mc017-2.jpg
 

 18. 
Find the next three terms of the arithmetic sequence 5, 9, 13, 17, … .
a.
 21
c.
 41, 45, 49
b.
 21, 25, 29
d.
 21, 41, 61
 

 19. 
Find the next two numbers of the sequence 1, 2, 4, 8, 16, … .
a.
 32, 64
c.
 20, 22
b.
 24, 32
d.
 18, 20
 

 20. 
Which equation is a linear equation?
a.
 4m2 = 6
c.
 mc020-1.jpg
b.
 3a + 5b = –3
d.
 x2 + y2 = 0
 
 
Find the slope of each line described.
 

 21. 
the line through (–3, 2) and (6, 2)
a.
 mc021-1.jpg
c.
 0
b.
 mc021-2.jpg
d.
 undefined
 

 22. 
a vertical line
a.
 1
c.
 –1
b.
 0
d.
 undefined
 

 23. 
the line graphed in the picture

mc023-1.jpg
a.
 mc023-2.jpg
c.
 mc023-4.jpg
b.
 mc023-3.jpg
d.
 mc023-5.jpg
 
 
Find the equation in slope-intercept form that describes each line.
 

 24. 
a line through (2, 4) with slope 0
a.
 y = 2
c.
 y = 4
b.
 x = 2
d.
 x = 4
 

 25. 
a line through (4, 2) with slope mc025-1.jpg
a.
 mc025-2.jpg
c.
 mc025-4.jpg
b.
 mc025-3.jpg
d.
 mc025-5.jpg
 

 26. 
a line through (–1, 1) and (2, 3)
a.
 mc026-1.jpg
c.
 mc026-3.jpg
b.
 mc026-2.jpg
d.
 mc026-4.jpg
 

 27. 
When are two lines parallel?
a.
 when the slopes are opposite
b.
 when the slopes are equal
c.
 when the product of the slopes is 1
d.
 when the slopes are positive
 
 
Use the graph. Find how many solutions exist for each system of equations.

nar005-1.jpg
 

 28. 
y = –3x + 2
y = 2x
a.
 no solution
c.
 one solution
b.
 infinitely many solutions
d.
 cannot be determined
 
 
Determine the best method to solve the system of equations.
 

 29. 
5x – 2y = 4
2x + 2y = 8
a.
 substitution
c.
 elimination using subtraction
b.
 elimination using addition
d.
 elimination using multiplication
 

 30. 
Find the two numbers whose sum is 26 and whose difference is 12.
a.
 26 and 12.
c.
 14 and 12.
b.
 19 and 7.
d.
 31 and 19.
 

 31. 
Simplify y5 · y3.
a.
 y2
c.
 y15
b.
 y8
d.
 2y8
 

 32. 
Simplify (b4)3.
a.
 b7
c.
 b12
b.
 3b4
d.
 3b7
 

 33. 
Simplify mc033-1.jpg. Assume the denominator is not equal to zero.
a.
 a11
c.
 a3
b.
 a28
d.
 1
 

 34. 
A rectangle has a length of 25x3 and a width of 5x2. Find the area in square units.
a.
 25x6
c.
 125x6
b.
 25x5
d.
 125x5
 

 35. 
Simplify mc035-1.jpg. Assume the denominator is not equal to zero.
a.
 m7n5
c.
 m3n
b.
 mc035-2.jpg
d.
 mc035-3.jpg
 

 36. 
Find (2a – 5) – (3a + 1).
a.
 5a + 6
c.
 –a – 6
b.
 a – 4
d.
 –a – 4
 

 37. 
Find (3y – 1)2.
a.
 6y2 – 6y + 1
c.
 9y2 – 3y + 1
b.
 9y2 – 6y + 1
d.
 9y2 – 6y – 1
 

 38. 
Find the GCF of 24a and 32b.
a.
 2
c.
 4ab
b.
 6ab
d.
 8
 

 39. 
Solve b(b + 17) mc039-1.jpg 0.
a.
 mc039-2.jpg
c.
 {0, 17}
b.
 {–17, 0}
d.
 {17}
 
 
Factor each trinomial.
 

 40. 
m2 + 13m + 42
a.
 (m + 1)(m + 13)
c.
 (m + 10)(m + 3)
b.
 (m + 6)(m + 7)
d.
 (m – 6)(m – 7)
 
 
Factor each polynomial, if possible. If the polynomial cannot be factored, choose prime.
 

 41. 
4m2 – 25
a.
 (2m + 5)(2m + 5)
c.
 (2m – 5)(2m – 5)
b.
 (2m + 5)(2m – 5)
d.
 prime
 

 42. 
Solve x2 – 16x + 64 = 0.
a.
 {8}
c.
 {4}
b.
 {–8, 8}
d.
 {–4}
 

 43. 
GEOMETRY The length of a rectangle is 5 centimeters more than the width. The area of the rectangle is 36 square centimeters. What is the length?

mc043-1.jpg
a.
 4 cm
c.
 14 cm
b.
 9 cm
d.
 26 cm
 

 44. 
If x = 2 and 3x + y = 5, what is the value of y?
a.
 0
c.
 11.
b.
 –1.
d.
 10
 

 45. 
Which statement best describes the graph of the price of one share of a company’s stock?

mc045-1.jpg
a.
 The price increased more in the morning than in the afternoon.
b.
 The price decreased more in the morning than in the afternoon.
c.
 The price increased more in the afternoon than in the morning.
d.
 The price decreased more in the afternoon than in the morning.
 

 46. 
Solve 2t + 1 = 3.
a.
 1
c.
 2
b.
 –1
d.
 –2
 

 47. 
A number is added to 9. The result is then multiplied by 4 to give a new result of 120. What is the number?
a.
 21
c.
 489
b.
 39
d.
 4(n + 9) + 120
 

 48. 
A baseball costs $4.00. If the sales tax is 5%, what is the total price?
a.
 $3.80
c.
 $4.05
b.
 $4.20
d.
 $4.50
 

 49. 
Use elimination to solve the system of equations.
x – y = 5
x + y = 3
a.
 (4, 1)
c.
 (–4, 1)
b.
 (4, –1)
d.
 (–4, –1)
 

 50. 
Which of the following polynomials shows the terms of x2 + 5x3 – 4 – 2x arranged so that the powers of x are in descending order?
a.
 5x3 – 2x + x2 – 4
c.
 5x3 – 4 – 2x + x2
b.
 –4 – 2x + x2 + 5x3
d.
 5x3 + x2 – 2x – 4
 



 
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