Download Algebra I Review Questions If = x² = x = 1 and = -x² = -x =

Algebra I Review Questions
1. Mary drove 20 miles to visit her friend. She got to her friend’s house in about 45 min, but
on the way back, it took her 1hour to get back to her own house. What was her average
speed for the round trip? (Round your answer to the nearest whole number)
A.
22 miles per hour
B.
23 miles per hour
C.
24 miles per hour
D.
25 miles per hour
2. Kelley biked 25 miles around the Grand Park. She went around that park twice and spent
on her trip 2 hours and 15minutes. What was her average speed for her bike trip? (Round
your answer to the nearest whole number)
A.
25 miles per hour
B.
24 miles per hour
C.
23 miles per hour
D.
22 miles per hour
3. Dave drove 60 miles to visit his college friend. He got there in one hour and 5 min, but on
the way back, it took him 1hour and 25 minutes to get back to his house. What was his
average speed for the round trip? (Round your answer to the nearest whole number)
A.
50 miles per hour
B.
48 miles per hour
C.
47 miles per hour
D.
55 miles per hour
If
= x²
=x
= 1 and
= -x²
represent the following tiles in numbers 4-12?
4.
a.
b.
c.
d.
= -x
= -1, what expression would
Algebra I Review Questions
5.
a.
b.
c.
d.
6.
a.
b.
c.
d.
e.
7.
a.
b.
c.
d.
+
8.
a.
b.
c.
d.
9.
a.
b.
c.
d.
Algebra I Review Questions
10.
a.
b.
c.
d.
11.
a.
b.
c.
d.
12. Consider the following models.
–
1
1
–x
x
*
Write an expression to represent the tiles modeled below.
a.
b.
–x-3
x–3
C
D
13. Consider the following models.
1
–
1
x
–
x
What is the solution to the equation modeled below?
a.
b.
C –8x + 4
D –4x + 8
Algebra I Review Questions
14.
a.
b.
c.
d.
Which is the correct translation of the algebraic expression 5x + y
Five times the sum of x and y
Five times x and five times y
The sum of 5x and y
Five times the difference of x and y
a.
b.
c.
d.
Which is the correct translation of the algebraic expression -7m – n?
Negative seven m and n
Negative seven m minus n
Seven m minus n
Negative 7 times the difference of m and n
15.
16.
Which is the correct translation for the algebraic expression 5x + 3y?
a.
b.
c.
d.
17.
Five times x plus 3 times y
The difference of 5x and 3 y
Three times x and 5 times y
5 times the sum of x and y
Which is the correct translation for the algebraic expression 6m +n?
a. The difference of 6m and n
b. 6 times the sum of m and n
c. 6 times m and n
d. The product of 6 and m plus n
18. Which is the correct translation for the algebraic expression 4x - y?
a. Four times x plus y
b. Four times x minus y
c. Four times the difference of x and y
d. Four times the sum of x and y
19. Which is the correct translation for the algebraic expression x + 8y?
a. X plus 8 times y
b. X plus the sum of 8 and y
c. X minus the product of 8 and y
d. 8 times the sum of x and y
20. Which is the correct translation for the algebraic expression 2a + b?
a. two times the sum of a and b
b. two times the difference of a and b
c. the sum of two times a and b
d. the product of two times b plus a
Algebra I Review Questions
21. Which is the correct translation for the algebraic expression 4(x + y) +2?
a. four times x and y increased by 2
b. four times x plus y and 2
c. four times x and y plus 2
d. four times the sum of x and y plus 2
22. Which is the correct translation for the algebraic expression 7g+2(5-3g)?
a. seven times g plus two times five less three times g
b. seven times g minus two times the difference of five and three times g
c. seven times g plus two times the difference of five and three times g
d. seven times g plus two times the sum of five and three times g
23. Which is the correct translation for the algebraic expression 3x+ 6y?
a. three times x and six plus y
b. three times x plus six times y
c. three plus x and six times y
d. three divided by x plus six times y
24. Which is the correct translation for the algebraic expression x – 7y?
a. the sum of x and seven times y
b. the difference of x and seven times y
c. the of x and seven times y
d. the difference of seven times y and x
25. Which is the correct translation for the algebraic expression
a.
b.
c.
d.
x  15
?
2
the sum of x and fifteen divided by two
the difference of x and fifteen divided by two
the quotient of x and two plus fifteen
the product of x and two plus fifteen
26. Which expression correctly represents the perimeter of the rectangle below?
6
x – 10
A 2x – 32
B 2x + 8
C 2x – 32
D 2x – 8
Algebra I Review Questions
27. What is the perimeter of the triangle shown in the drawing?
2x -1
x
2x +5
A
5X3 +4
C 5X +4
B 5X3 – 6
D 9X3
28. Which expression correctly represents the perimeter of the rectangle below?
15
x–8
A 2x + 14
B 2(x – 7)
C 2x – 46
D 2x - 23
29. What is the perimeter of the triangle shown in the drawing?
2x – 7
2x + 3
2x
A 6x3 – 4
B 6x – 4
C 6x3 + 3
D 6x + 10
30. Jasmine has a 600-ft fence around her rectangular garden. The length is 4 feet
less than twice the width. Which equation can Jasmine use to calculate the
perimeter?
A 6w – 8 = 600
B 2w + 2(2w – 4) = 600
C 6w – 4 = 600
D 2(2w – 4) = 600
Algebra I Review Questions
31. Which expression correctly represents the perimeter of the rectangle below?
x
x+1
x+2
2x + 1
A 5x + 4
B 3x + (2x + 1)
C 6x + 3
D 3x + (2x + 3)
32. Malik has a 300-ft fence around his rectangular yard. The length is 24 feet more
than the width. Which equation can Malik use to calculate the perimeter?
A 2x + 2(x +24) = 300
B 2x + 2(x – 24) = 300
C 4x - 48 = 600
D 4x + 48 = 600
33. David built a 1200-ft fence around the rectangular baseball field. The length is
100 feet less than five times the width. Which expression can David use to
represent the perimeter?
5x - 100
x
A 6x + 2(100)
B 2x – 2(5x + 100)
C 12x – 500
D 2x + 2(5x – 100)
Algebra I Review Questions
34. What is the perimeter of the equilateral triangle shown in the drawing?
2x - 5
A 3(2x – 5)
B 2(x – 5)
C 6(x – 5)
D 6x - 5
35. Which expression correctly represents the perimeter of the rectangle below?
3x
4x - 1
A 3(x) + 2(4x – 1)
B 2(3x) + 2(4x – 1)
C 7x – 1
D 12x - 3
36. Shaun buys tea and a donut for herself and for Cree. To find the total, Shaun adds the cost
of 2 teas to the cost of 2 donuts, while Cree multiples the total cost of 1 tea and 1 donut by
2. The results are the same. What property of real numbers models this situation?
A)
B)
C)
D)
Associative Property of Multiplication
Commutative Property of Addition
Distributive Property
Addition Property of Equality
37 Which property justifies the equation
A)
B)
C)
D)
Associative Property of Multiplication
Commutative Property of Multiplication
Distributive Property
Reflexive Property of Equality
?
Algebra I Review Questions
38.
Which of the following shows the symmetric property of equality?
A) If 2 + 3 = 5 and 5 = 1 + 4, then 2 + 3 = 1 + 4
B) If 2 + 3 = 5, then 3 + 2 = 5
C) If 6 + 2 = 8, then 8 = 6 + 2
D) If 2 + ( 1 + 3) = 6, then 2 + 4 = 6
39. Which is an example of the commutative property of addition?
A) 2 + 3m = 2 + (1 + 2)m
B) 2 + 3m = 3m + 2
C) 2 +3m = (2 + 3)m
D) 2 + 3m = 2m + 3
40.
The total distance traveled from Chesapeake Square Mall to Greenbrier Mall is the same as the
total distance traveled from Greenbrier Mall to Chesapeake Square Mall. What property justifies
this statement?
A) Reflexive Property of Equality
B) Associative Property of Addition
C) Symmetric Property of Equality
D) Commutative Property of Addition
41.
Which property justifies the equation:
A) Commutative Property of Addition
B) Associative Property of Addition
C) Symmetric Property of Equality
D) Distributive Property
42.
Which is an example of the distributive property?
A) 2( x + 4) = 2x + 4
B) 2x + 5 = 2(x + 3)
C) 2(x + 5) = 2x + 5
D) 2x + 8 = (x + 4)2
43.
44.
45.
Karen goes to the store and buys steak, salad and potato. She adds together the cost of
the steak and the salad first. She then adds in the cost of the potato to her total. Her
friend, Sue, added the cost of the salad and the potato first before adding the cost of the
steak. What property explains why they both had the same result?
A) Associative Property of Addition
C) Distributive Property
B) Commutative Property of Addition
D) Substitution Property of Equality
Which of the following shows the commutative property of addition?
A) If 6 + 4 = 10, then 10 = 6 + 4
B) If 6 + 4 = 10, then 4 + 6 = 10
C) If 2 + (3 + 8) = 13, then (2 + 3) + 8 = 13
D) If 2 + (3 + 8) = 13, then 2 + 11 = 13
Which property justifies the following statement: 1 + (2 + 12) = 1 + 14?
A) Associative Property of Addition
B) Commutative Property of Addition
C) Distributive Property
D) Substitution Property of Equality