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COMPREHENSIVE SAT Algebra Review 1

Total questions: 206

Worksheet time: 7hrs 1mins

Name
Class
Date
1.

8136=9k\frac{81}{36}=\frac{9}{k} .

What is the value of k?

(a)  

2.

44 : 33=4 : a44\ :\ 33=4\ :\ a . What is the value of a?

(a)  

3.

Solve,

53p=101\frac{5}{3}p=\frac{10}{1}

(a)  

4.

Solve

k7=35\frac{k}{7}=\frac{3}{5}

a)

215\frac{21}{5}

b)

145\frac{14}{5}

c)

27\frac{2}{7}

d)

17\frac{1}{7}

5.

Solve

45x=83\frac{4}{5}x=\frac{8}{3} Leave answer as a whole number or as an improper fraction in its simplest form.

a)

103\frac{10}{3}

b)

4112\frac{41}{12}

c)

13\frac{1}{3}

d)

310\frac{3}{10}

6.

Solve

23k=41\frac{2}{3}k=\frac{4}{1} Leave answer as a whole number or a fraction in its simplest form.

(a)  

7.

Solve 3x+5=9Solve\ 3x+5=9

a)

13\frac{1}{3}

b)

23\frac{2}{3}

c)

34\frac{3}{4}

d)

43\frac{4}{3}

8.

Solve 3x+5=9Solve\ 3x+5=9

a)

13\frac{1}{3}

b)

23\frac{2}{3}

c)

34\frac{3}{4}

d)

43\frac{4}{3}

9.

Solve

-4 = -8 - 2b

(a)  

10.

Solve 3x+5=9Solve\ 3x+5=9

a)

13\frac{1}{3}

b)

23\frac{2}{3}

c)

34\frac{3}{4}

d)

43\frac{4}{3}

11.

y = mx + b

Solve for b given m = -2, x = 3 and y = 1

(a)  

12.

y = mx + b

Solve for b given m = -2, x = -3 and y = -1

(a)  

13.

Review the notes to the left and solve,

4−23k=−24-\frac{2}{3}k=-2

(a)  

14.

Review the notes to the left and solve,

-3 = −23k−5-\frac{2}{3}k-5

(a)  

15.

Solve,

4−23y=−24-\frac{2}{3}y=-2

(a)  

16.

Review the notes and solve,

23a−3=7\frac{2}{3}a-3=7 Leave answer as a whole number or a fraction in its simplest form.

(a)  

17.

Can you solve,

3 - 2x = -5

x = ?

(a)  

18.

Try it:

Which of the following expressions is the same as 5( 3x + 8 )?

a)

A) 55x

b)

B) 15x

c)

C) 15x + 13

d)

D) 15x + 40

19.

Which of the following is the same as 3( 4 - 2x )?

a)

A) 12 - 6x

b)

B) 12 + 6x

c)

C) 6x

d)

D) 12 - 5x

20.

Which of the following expressions is the same as -2( -2x + 4 )?

a)

A) -4x + 8

b)

B) 4x - 8

c)

C) 4x +8

d)

D) -4x -8

21.

Which of the following is the same as -( 2x + 4 )?

a)

A) -2x - 4

b)

B) -2x + 4

c)

C) -6x

d)

D) 6x

22.

Which of the following expressions is the same as -( -2a - 4 )?

a)

A) -6a

b)

B) 2a -4

c)

C) -2a + 4

d)

D) 2a + 4

23.

Which of the following expressions is equivalent to - ( -4c - 6 )?

a)

A) -4c - 6

b)

B) 4c - 6

c)

C) -4c + 6

d)

D) 4c + 6

24.

Solve,

−3x+5<8-3x+5<8

Practice IXL 8th Grade N.1 to N.11

a)

A) x<−1x<-1

b)

B) x<1x<1

c)

C) x>1x>1

d)

D) x>−1x>-1

25.

Solve,

4−23x≥84-\frac{2}{3}x\ge8

Practice IXL 8th Grade N.1 to N.11

a)

A) x≤−6x\le-6

b)

B) x≥−6x\ge-6

c)

C) x≤6x\le6

d)

D) x≥6x\ge6

26.

Which of the following steps would NOT be a correct step towards solving the equation below:

−14x − 7 = 3x + 2-14x\ -\ 7\ =\ 3x\ +\ 2  

a)

Combining undefined and undefined to get undefined 

b)

Adding 7 to both sides of the equation.

c)

Subtracting 2 from both sides of the equation. 

d)

Subtracting  3x3x  from  −14x-14x  to get  −17x.-17x.   

27.
Solve for x:
5x - 14 = 8x + 4
a)
x = 6
b)
x = -6
c)
x = -18/13
d)
x = 10/3
28.

Solve,

5h−3≥7h+55h-3\ge7h+5

a)

A) h≥4h\ge4

b)

B) h≤4h\le4

c)

C) h≤−4h\le-4

d)

D) h≥−4h\ge-4

29.

Solve,

3x+6=2x+83x+6=2x+8

x = ?

(a)  

30.

Solve,

7w + 5 = 3w - 15

a)

w = 5

b)

w = -2

c)

w = 2

d)

w = -5

31.

Solve,

7w + 5 << 5w - 15

a)

A) w>5w>5

b)

B) w<−10w<-10

c)

C) w<−5w<-5

d)

D) w>−10w>-10

32.

I can solve RATIONAL equations in ONE variable.

Solve : 3w−12=4w+53\frac{3w-1}{2}=\frac{4w+5}{3}

a)

13

b)

6

c)

11

d)

8

33.

I can solve RATIONAL equations in ONE variable

Solve the equation below:

4m+53=2m−3\frac{4m+5}{3}=2m-3

a)

3

b)

7

c)

-5

d)

5

34.

I can solve RATIONAL equations in ONE variable

Solve for q:

8(5−2q)3=−7q+10\frac{8\left(5-2q\right)}{3}=-7q+10

a)

-1

b)

1

c)

-2

d)

2

35.

I can solve RATIONAL equations in ONE variable

Solve:

4(7k−2)5−2=2(3+2k)\frac{4\left(7k-2\right)}{5}-2=2\left(3+2k\right)

a)

9

b)

6

c)

4

d)

1

36.

Evaluate,

4−754-\frac{7}{5} .

Leave your answer as an improper fraction in its simplest form.

(a)  

37.

−4−75=-4-\frac{7}{5}= ?

(a)  

38.

83−9=?\frac{8}{3}-9=?

(a)  

39.

−83−9=?-\frac{8}{3}-9=?

(a)  

40.

−83+9=?-\frac{8}{3}+9=?

(a)  

41.

-3( −29-\frac{2}{9} ) - 7 =?

(a)  

42.

-5( 725\frac{7}{25} ) - 6 =?

(a)  

43.

7×314=7\times\frac{3}{14}=

(a)  

44.

314×7=\frac{3}{14}\times7= ?

(a)  

45.

34×1615=?\frac{3}{4}\times\frac{16}{15}=?

(a)  

46.

56×1210=?\frac{5}{6}\times\frac{12}{10}=?

(a)  

47.

7÷143=7\div\frac{14}{3}=

(a)  

48.

143÷7\frac{14}{3}\div7

(a)  

49.

45÷1615=\frac{4}{5}\div\frac{16}{15}=

(a)  

50.

825÷1220\frac{8}{25}\div\frac{12}{20}

(a)  

51.
a)
5/14
b)
3/7
c)
5/7
d)
5/14
52.
a)
3/10
b)
3/5
c)
3/25
d)
15/5
53.

Evaluate 34−13÷23×27\frac{3}{4}-\frac{1}{3}\div\frac{2}{3}\times\frac{2}{7}

Leave your answer as a fraction in its simplest form or a whole number.

(a)  

54.

Evaluate 56−25÷34×12\frac{5}{6}-\frac{2}{5}\div\frac{3}{4}\times\frac{1}{2}

Leave your answer as a fraction in its simplest form or a whole number.

(a)  

55.

Evaluate 78−34÷56×23\frac{7}{8}-\frac{3}{4}\div\frac{5}{6}\times\frac{2}{3}

Leave your answer as a fraction in its simplest form or a whole number.

(a)  

56.

Evaluate 56−23÷45×34\frac{5}{6}-\frac{2}{3}\div\frac{4}{5}\times\frac{3}{4}

Leave your answer as a fraction in its simplest form or a whole number.

(a)  

57.

Evaluate 78−12÷34×23\frac{7}{8}-\frac{1}{2}\div\frac{3}{4}\times\frac{2}{3}

Leave your answer as a fraction in its simplest form or a whole number.

(a)  

58.

72−3×64÷67^2-3\times\sqrt[]{64}\div6

(a)  

59.

What is the result of 52−2×49÷75^2-2\times\sqrt[]{49}\div7 ?

(a)  

60.

What is the solution to the system?
3+2x-y=0
-3-7y=10x

a)

(1,-1)

b)

(-1,1)

c)

no solution

d)

infinitely many solutions

61.
What is the solution to the system?
a)
(-8,3)
b)
infinitely many solutions
c)
(3,-8)
d)
no solution
62.
What is the solution to the system?
a)
infinitely many solutions 
b)
no solution
c)
(-6,7)
d)
(6,-7)
63.
What is the solution to the system?
a)
(0,-2)
b)
(0,2)
c)
infinitely many solutions
d)
no solution 
64.
What is the solution to the system?
a)
(-6,-6)
b)
No solution
c)
infinitely many solutions
d)
(6,-6)
65.

Solve

x+4y6=y\frac{x+4y}{6}=y

3x+6y2=4x−1\frac{3x+6y}{2}=4x-1

a)

x = −1 , y=12x\ =\ -1\ ,\ y=\frac{1}{2}

b)

x=12, y=−1x=\frac{1}{2},\ y=-1

c)

x=1 , y=12x=1\ ,\ y=\frac{1}{2}

d)

x=1, y=−12x=1,\ y=-\frac{1}{2}

66.

Solve x2=9x^2=9

a)

x = 3

b)

x = -3

c)

x = 3 and -3

d)

x = 3i

67.

Solve x2+9=0x^2+9=0

a)

x=3x=3

b)

x=−3x=-3

c)

x=±3x=\pm3

d)

x=±3ix=\pm3i

68.

Solve x2+16=0x^2+16=0

a)

x = - 4

b)

x = 4 and -4

c)

x = 4i and -4i

d)

x = 4

69.

Solve x2=15Solve\ x^2=15

a)

x=15 and −15x=\sqrt[]{15}\ and\ -\sqrt[]{15}

b)

x=15x=\sqrt[]{15}

c)

x=−15x=-\sqrt[]{15}

d)

x=15ix=\sqrt[]{15}i

70.

Solve 3x2=1353x^2=135

a)

x = 45

b)

x=35and −35x=3\sqrt[]{5}and\ -3\sqrt[]{5}

c)

x=95and −95x=9\sqrt[]{5}and\ -9\sqrt[]{5}

d)

x=±45x=\pm\sqrt[]{45}

71.

Solve 5x2=1005x^2=100

a)

x=20x=20

b)

x=20 and −20x=20\ and\ -20

c)

x=45 and −45x=4\sqrt[]{5\ }and\ -4\sqrt[]{5}

d)

x=25and −25x=2\sqrt[]{5}and\ -2\sqrt[]{5}

72.

Solve

16x2=2516x^2=25

If x>0If\ x>0

a)

54\frac{5}{4}

b)

45\frac{4}{5}

c)

52\frac{5}{2}

d)

25\frac{2}{5}

73.

Solve x2−25=0x^2-25=0

if x>0if\ x>0

a)

-2

b)

2

c)

-5

d)

5

74.

Solve 49y2−12=449y^2-12=4

If y <0If\ y\ <0

a)

34\frac{3}{4}

b)

−34-\frac{3}{4}

c)

−47-\frac{4}{7}

d)

47\frac{4}{7}

75.

Solve x2+3x=0x^2+3x=0

If x≠0If\ x\ne0

a)

-2

b)

-3

c)

-4

d)

-5

76.

Solve

x2+3x=4x^2+3x=4

If x>0If\ x>0

a)

4

b)

1

c)

-4

d)

3

77.

Solve

x(x−4)=0x\left(x-4\right)=0 for x > 0.



(a)  

78.

x(x+3)=−2x\left(x+3\right)=-2

If a and b are the solutions of the equation above, what is the value of of |a - b|

(a)  

79.

Solve

(x+2)2=9\left(x+2\right)^2=9

a)

x=1x=1

b)

x=−5x=-5

c)

x=−1x=-1

d)

x=1, −5x=1,\ -5

80.

Solve

(x+2)2=18−x\left(x+2\right)^2=18-x

a)

x=−2, 7x=-2,\ 7

b)

x=2, −7x=2,\ -7

c)

x=−2, −7x=-2,\ -7

d)

x=2, 7x=2,\ 7

81.

Solve (x−3)2+4=x+31\left(x-3\right)^2+4=x+31

a)

x = 9, -2

b)

x = -9, 2

c)

x = -2, -9

d)

x = 2, 9

82.

Solve (x+5)2−16=0\left(x+5\right)^2-16=0

a)

x = 4

b)

x - 4

c)

x = -4, 9

d)

x = -4, -9

83.

Which of the following expressions is equivalent to ( x + 4 )( x + 2 )?

a)

x2+4x+8

b)

x2+8x+8

c)

x2+8x+6

d)

x2+6x+8

84.

Which of the following expressions is equivalent to ( x + 8 )( x + 3 )?

a)

x2+11x+16

b)

x2+5x+24

c)

x2+11x+24

d)

2x2+11x+24

85.
a)

x2+x-20

b)

x2-x-20

c)

x2-9x-20

d)

x2-x+20

86.
a)

5x2+16x+8

b)

6x2+12x+8

c)

6x2+16x+6

d)

6x2+16x+8

87.

Which of the following expressions is equivalent to x2+3x+2x^2+3x+2 ?

a)

A) (x+3)(x+1)

b)

B) (x+2)(x+1)

c)

C) (x+1)(x+1)

d)

D) (x+2)(x+2)

88.

Which of the following expressions is equivalent to x2−7x+10x^2-7x+10 ?

a)

A) (x-5)(x-2)

b)

B) (x-10)(x+1)

c)

C) (x-1)(x-6)

d)

D) (x-2)(x-5)

89.
What is the GCF?
6w3 - 14w
a)
6w
b)
4
c)
2w
d)
3w
90.
What is the GCF?
-18x3 - 6x2
a)
3x
b)
6
c)
6x2
d)
2x2
91.
Factor:
18a2-15a
a)
15a(3a-1)
b)
3a(6a-1)
c)
3(6a-5)
d)
3a(6a-5)
92.
Factor:
4x2 + 64
a)
4(x2 + 16)
b)
4(x - 4)(x + 4)
c)
4(x2 + 64)
d)
Prime
93.

Factor by Grouping: x3+3x2+2x+6x^3+3x^2+2x+6

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94.

Factor by Grouping: x3+5x2−2x−10x^3+5x^2-2x-10

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95.

Factor by Grouping: x3+3x2+4x+12x^3+3x^2+4x+12

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96.

Factor by Grouping: 2x3+14x2+5x+352x^3+14x^2+5x+35

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97.

Which of the following expressions is equivalent to 3x2−4x−73x^2-4x-7 ?

a)

A) (x-5)(x-2)

b)

B) (3x-10)(x-1)

c)

C) (x-1)(x-6)

d)

D) (3x-7)(x+1)

98.

Which of the following expressions is equivalent to 3x2+4x−73x^2+4x-7 ?

a)

A) (3x+7)(x-1)

b)

B) (3x-10)(x-1)

c)

C) (x-1)(x-6)

d)

D) (3x-7)(x+1)

99.

Which of the following expressions is equivalent to 3x2+10x+73x^2+10x+7 ?

a)

A) (3x+7)(x-1)

b)

B) (3x+7)(x+1)

c)

C) (x-1)(x-6)

d)

D) (3x-7)(x+1)

100.

Which of the following expressions is equivalent to 3x2−10x+73x^2-10x+7 ?

a)

A) (3x+7)(x-1)

b)

B) (3x+7)(x+1)

c)

C) (x-1)(x-6)

d)

D) (3x-7)(x-1)

101.

Factor: 2x2+13x+152x^2+13x+15

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102.

Factor: 3x2−13x+43x^2-13x+4

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103.

Factor: 5x2−33x−145x^2-33x-14

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104.
Factor: 
x2 - 400
a)
( x - 200) ( x + 200) 
b)
( x + 20) ( x + 20) 
c)
Prime
d)
( x - 20) ( x + 20) 
105.

Which of these can factor using difference of two squares?

a)

144x2 - 49y2

b)

x2 + 4x - 12

c)

100x2 + 20x + 1

d)

14x - 16

106.

Which one is false about the difference of two squares?

a)

We can factor because there is addition sign.

b)

We can factor because there is a perfect squared number (Example: x2, 25, 49)

c)

Formula: a2 - b2 = (a + b) (a - b)

d)

We can factor because there is minus sign.

107.

We can't factor using difference of two square this

49x2 + 4y2. Why?

a)

Because 4 is not a perfect cubed number.

b)

Because 4 is not a perfect squared number.

c)

Because 49 is not a perfect squared number.

d)

Because we can't factor using difference of two squares if it is addition sign.

108.

Factor 4x2-9

a)

(4x-9)(4x+9)

b)

(2x-3)(2x+3)

c)

2x-3

d)

(2x-4.5)(2x+4.5)

109.

Factor x2-25

a)

( x + 5 ) ( x - 5 )

b)

( x - 5 ) ( x - 5 )

c)

( x + 5 ) ( x + 5 )

d)

Prime

110.

Factor completely.

121x2 - 49

a)

( 11x - 7 ) 2

b)

( 11x - 7 ) ( 11x - 7 )

c)

( 11x + 7 ) ( 11x - 7 )

d)

( 12x + 7 ) ( 12x - 7 )

111.
Fully Factor the Following
25x2-81
a)
(5x-9)2
b)
(5x+9)(5x-9)
c)
25(x-9)2
d)
(9x+5)(9x-5)
112.

Factor completely.

49x2 + 16

a)

( 7x + 4 ) ( 7x - 4 )

b)

( 7x + 4 ) ( 7x + 4 )

c)

( 7x - 4 ) 2

d)

does not factor (SUM of squares)

113.
36m2 - 9
(Check for a GCF)
a)
(6m + 3)(6m - 3)
b)
9(4m2 - 1)
c)
9(2m - 1)(2m + 1)
d)
Not Factorable
114.

What is missing in ( a4a^4 - 25 ) = ( a2a^2 - ____)( a2a^2 + 5 )

a)

5

b)

10

c)

25

d)

a2a^2  

115.

Is ( a2 + 4 ) an example of difference of two squares?

a)

Yes

b)

No

116.

a2 - b2 = ( a + b ) ( a - b ) is the pattern in factoring the difference of two squares.

a)

No

b)

Yes

117.
Factor: x2 + 24x + 144
a)
(x + 12)2
b)
(x + 9)2
c)
(x + 15)2
d)
(x + 13)2
118.
Factor: x2 - 4x + 4
a)
(x + 2)2
b)
(x - 2)2
c)
(x + 4)2
d)
(x - 4)2
119.
Is this a perfect square trinomial?
x2 + 16x + 64
a)
Yes
b)
No
120.
Which of the following is a perfect square trinomial?
a)
x2 – 4x – 4 
b)
x2 – 6x – 9 
c)
x2 + 6x – 9 
d)
x2 – 4x + 4 
121.
Which of the following is a perfect square trinomial?
a)
x2 + 14x – 49 
b)
x2 + 20x + 100 
c)
x2 – 8x + 4 
d)
x2 – 5x + 6 
122.
Factor completely: 25x2+60x+36
a)
(25x-6)(x-1)
b)
(5x-6)(5x-6)
c)
(5x+6)2
d)
(25x+4)(x+9)
123.
Factor completely: 16x2-24x+9
a)
(16x-3)(x-3)
b)
(16x+9)(x+1)
c)
(4x-3)(4x-3)
d)
(4x+3)(4x+3)
124.

∣2x−5∣=9\left|2x-5\right|=9

If the the solutions tho the above equations are a and b, where a and b are constants, what is the value of ∣a−b∣\left|a-b\right|

(a)  

125.

∣3x−7∣=11\left|3x-7\right|=11

If the solutions to the above equation are c and d, where c and d are constants, what is the value of


3∣c−d∣3\left|c-d\right| ?

(a)  

126.

Solve ∣2x+7∣<11\left|2x+7\right|<11

a)

A) -9 < x < 2

b)

B) 9 < x < -2

c)

C) x < 2

d)

D) x > -9

127.

Solve ∣3x−2∣≥8\left|3x-2\right|\ge8

a)

A) −2≤x≤103-2\le x\le\frac{10}{3}

b)

B) x≤−2; x≥103x\le-2;\ x\ge\frac{10}{3}

c)

C) x≤−2x\le-2

d)

D) x≥103x\ge\frac{10}{3}

128.

Solve ∣2x−5∣≥7\left|2x-5\right|\ge7

a)

A) x≤−1; x≥6x\le-1;\ x\ge6

b)

B) −1≤x≤6-1\le x\le6

c)

C) x≤−6x\le-6

d)

D) x≥−1x\ge-1

129.

A cereal manufacturer has a tolerance of 0.75 ounce for a box of cereal that is supposed to weigh 20 ounces. Which of the following is the correct absolute value inequality for the acceptable weights for " 20 ounce " boxes.

a)

A) ∣x−0.75∣≤20\left|x-0.75\right|\le20

b)

B) ∣x−20∣≥0.75\left|x-20\right|\ge0.75

c)

∣x−20∣≤0.75\left|x-20\right|\le0.75

d)

D) ∣x−20∣≥0.75\left|x-20\right|\ge0.75

130.

A snack manufacturer has a tolerance of 0.5 grams for a bag of chips that is supposed to weigh 25 grams. Which of the following is the correct absolute value inequality for the acceptable weights for "25 gram" bags?

a)

A) ∣x−0.5∣≤25\left|x-0.5\right|\le25

b)

B) ∣x−25∣≥0.5\left|x-25\right|\ge0.5

c)

∣x−25∣≤0.5\left|x-25\right|\le0.5

d)

D) ∣x−25∣≥0.5\left|x-25\right|\ge0.5

131.

You are a quality control inspector at a bowling pin company. A regulation pin must weigh between 50 ounces and 58 ounces, inclusive. Which of the following absolute value inequality describes the weights you should reject?

a)

A) ∣w−54∣<4\left|w-54\right|<4

b)

∣w−58∣≤50\left|w-58\right|\le50

c)

C) ∣w−50∣<58\left|w-50\right|<58

d)

D) ∣w−54∣>4\left|w-54\right|>4

132.

You are a quality control inspector at a bowling pin company. A regulation pin must weigh between 50 ounces and 58 ounces, inclusive. Which of the following absolute value inequality describes the weights you should reject?

a)

A) ∣w−54∣<4\left|w-54\right|<4

b)

∣w−58∣≤50\left|w-58\right|\le50

c)

C) ∣w−50∣<58\left|w-50\right|<58

d)

D) ∣w−54∣>4\left|w-54\right|>4

133.

You are a quality control inspector at a pencil factory. A standard pencil must be between 6 inches and 8 inches long, inclusive. Which of the following absolute value inequality describes the lengths you should reject?

a)

A) ∣L−6∣<1\left|L-6\right|<1

b)

B) ∣L−7∣>1\left|L-7\right|>1

c)

C) ∣L−6∣<8\left|L-6\right|<8

d)

D) ∣L−8∣>1\left|L-8\right|>1

134.

∣2x+1∣=5\left|2x+1\right|=5

If a and b are the solutions to the equations above, what is the value of ∣a−b∣\left|a-b\right|

(a)  

135.
a)

No Solutions

b)

x = -5/3 and x = 7/3

c)

x = 7/3

d)

Infinite Solutions

136.
a)

x = -12 and x = 2

b)

x = -12

c)

No Solutions

d)

x = 2

137.

3∣2x+2∣−2x=x+33\left|2x+2\right|-2x=x+3

What is the sum od all the possible solutions to the equation above

(a)  

138.

For what value of n is ∣n−1∣\left|n-1\right| + 1 equal to 0?

a)

0

b)

1

c)

2

d)

There is no such value of n.

139.

| n + 3 | + 3 = k

In the equation above, K is a constant. If the equation has no solution, which of the following could be the value of k

I 1

II 2

III 3

a)

I only

b)

II only

c)

I and II

d)

III only

140.

| m - 4 | + 2 = p

In the equation above, p is a constant. If the equation has no solution, which of the following could be the value of p

I 1

II 2

III 3

a)

I and II

b)

II only

c)

I

d)

III only

141.
Find the slope between the two given points: (-2,1) and (5,7)
a)
7/6
b)
2
c)
6/7
d)
-2
142.
Find the slope of the line.
a)
1/2
b)
-1/2
c)
2
d)
-2
143.

What is the y-intercept in the equation?

y = 5x - 4

a)

(0,5)

b)

(0,-4)

c)

(-4,0)

d)

(5,0)

144.

What is the y-intercept for the given graph?

a)

(0,-5)

b)

(0,5)

c)

(0,1)

d)

(0,-1)

145.
Which equation represents the following graph?
a)
y = 3x + 2
b)
y = -2x + 3
c)
y = 2x + 3
d)
y = -3x + 2
146.
Which equation best represents the relationship between x and y in the table shown?
a)
y= 5x+5
b)
y=1/5x+5
c)
y=15x+5
d)
y=10x+5
147.
Which is the graph of y=-x+2?
a)
A
b)
B
c)
C
d)
D
148.

The slope, represented by 𝒎, is defined as the ratio of the vertical change between two points to the horizontal change between the same two points.

a)

TRUE

b)

FALSE

149.
Jenny went to the sale at Kohl's last weekend.  
T-shirts were on sale for $15 each and hoodies were on sale for $20 each.  If she spent $150 total, write an equation to represent this situation.  
a)
20x + 15 = y 
b)
35x = y 
c)
15x + 20y = 150 
d)
150 - 20x = 15y 
150.

Which graph represents 2x + 4y = 12?

a)
b)
c)
d)
151.

Write the equation of a line PARALLEL to y = 2x + 3 that passes through the point (3, 1).

a)

y=2x −3y=2x\ -3

b)

y=2x−5y=2x-5

c)

y=2x + 1y=2x\ +\ 1

d)

y=−12x+52y=-\frac{1}{2}x+\frac{5}{2}

152.

Write the equation of a line PARALLEL to that passes through the point (3, 1).  y=−52x+10y=-\frac{5}{2}x+10  

a)

y=−52x + 6y=-\frac{5}{2}x\ +\ 6  

b)

y =−52x+172y\ =-\frac{5}{2}x+\frac{17}{2}  

c)

y=25x+6y=\frac{2}{5}x+6  

d)

y=25x+ 8y=\frac{2}{5}x+\ 8  

153.
A line is perpendicular to    y = 2x - 7.
What is the slope of this line? 
a)
-2
b)
1/2
c)
-1/2
d)
2
154.
What slope is perpendicular to:  
m = 3
a)
-3
b)
-1/3
c)
1/3
d)
3
155.

In the xy-plane, the equation of line l is x + 3y=5l\ is\ x\ +\ 3y=5 . If line m is perpendicular to line l, what is a possible equation of line m?

a)

y=−13x+2y=-\frac{1}{3}x+2

b)

y=13x−1y=\frac{1}{3}x-1

c)

y=−3x+1y=-3x+1

d)

y=3x+23y=3x+\frac{2}{3}

156.

What is the slope of the line described by the equation 1x+12x=5y?\frac{1}{x}+\frac{1}{2x}=\frac{5}{y}?

a)

103\frac{10}{3}

b)

310\frac{3}{10}

c)

47\frac{4}{7}

d)

74\frac{7}{4}

157.

Line l is perpendicular to the line described by the equation 5x + 11y = 16. What is the slope of line l?

a)

25\frac{2}{5}

b)

34\frac{3}{4}

c)

115\frac{11}{5}

d)

23\frac{2}{3}

158.

Which of the following is the correct midpoint formula given two endpoints (x1, y1) and (x2, y2)?

a)
b)
c)
d)
159.

In the xy-plane. the midpoint of AB‾\overline{AB} is (10, 4). If the coordinates of point A are (5, 1), what are the coordinates of point B?

a)

(5,3)

b)

(6,4)

c)

(15,7)

d)

(20,10)

160.

If point M (5, - 3) is the midpoint of the line segment connecting point A(2a, b) and point B(b, a), what is the value of a?

a)

8

b)

12

c)

16

d)

20

161.

If the distance between (a,3) and (6,8) is 13, what is the value of |a - b|

a)

4

b)

8

c)

12

d)

16

162.

In the xy-plane, the points P( 2, 5 ), Q( 4, 9 ) and R( 10, m ) lie on the same line. Which of the following is the correct slope expression using points P and R?

a)

A) m−510−2\frac{m-5}{10-2}

b)

B) m−210−5\frac{m-2}{10-5}

c)

C) 5−102−m\frac{5-10}{2-m}

d)

D) 5−2m−10\frac{5-2}{m-10}

163.

In the xy-plane, the points A( 3, 4 ), B( 5, 7 ) and C( 11, p ) lie on the same line. Which of the following is the correct slope expression using points B and C?

a)

A) 7−p11−5\frac{7-p}{11-5}

b)

B) 7−p5−11\frac{7-p}{5-11}

c)

C) 11−p7−5\frac{11-p}{7-5}

d)

D) 7−5p−11\frac{7-5}{p-11}

164.

In the xy-plane, the points P(2, 5), Q(4, 9), and R(10, p) lie on the same line, and p is a constant. What is the value of the missing y-coordinate, p, of point R? Hint: write two slope expressions and set them equal.

(a)  

165.

What is the value of b if the points (4,3) and (-1,b) lie on the same line with a slope of 2?

(a)  

166.

In the xy-plane, the points (-2, b+1), (4, 3) and (6, 4) lie on the same line. What is the value of b?

(a)  

167.

Evaluate,

−23−15−14−15\frac{-\frac{2}{3}-\frac{1}{5}}{-\frac{1}{4}-\frac{1}{5}}

(a)  

168.

Simplify,

−34−12−13−16\frac{-\frac{3}{4}-\frac{1}{2}}{-\frac{1}{3}-\frac{1}{6}}

(a)  

169.

Now,

Link It! Recall previous skills

Be bold and logical

Peresevere; don't quit!

Which of the following the the equation of the line passing through the points ( 32, 12\frac{3}{2},\ \frac{1}{2} ) and ( −12, 13-\frac{1}{2},\ \frac{1}{3} )?

a)

A) y=−112x+58y=-\frac{1}{12}x+\frac{5}{8}

b)

B) y=58x−112y=\frac{5}{8}x-\frac{1}{12}

c)

C) y=32x−13y=\frac{3}{2}x-\frac{1}{3}

d)

D) y=−13x+58y=-\frac{1}{3}x+\frac{5}{8}

170.

Now,

Link It! Recall previous skills

Be bold and logical

Peresevere; don't quit!

The equation of the line joining the points ( 34, 14\frac{3}{4},\ \frac{1}{4} ) and ( −14, 16 -\frac{1}{4},\ \frac{1}{6}\ ) is given by y= ax + k, where a and k are constants. What is the value of a/k? Record your answer as a fraction.

(a)  

171.

Now,

Link It! Apply your previous knowledge

Be precise and analytical

Persevere; don't falter!

The equation of the line connecting the points ( 56, 23\frac{5}{6},\ \frac{2}{3} ) and ( −56, 12 -\frac{5}{6},\ \frac{1}{2}\ ) is given by y= mx + b, where m and b are constants. What is the value of m/b? Provide your answer as a fraction in its simplest form.

(a)  

172.

The relationship between x and y can be modeled by the equation

y = ax + k, where a and k are constants. What is the value of k - a?

Practice IXL 8th Math CC.7

Khan Academy Digital SAT: Graphs if Linear Functions, Medium.

(a)  

173.

The line y = ax + k, where a and k are constants, is parallel to the line y = -3x + 8 and also has the same y-intercept as the line y = 5x + 9. What is the value of k - a?

(a)  

174.

Consider the line y = bx + m, where b and m are constants. This line is parallel to the line y = -2x - 4 and shares the same y-intercept as the line y = -x + 6. What is the value of m - b?

(a)  

175.

In the xy-plane, the equation of line l is x + 3y=5l\ is\ x\ +\ 3y=5 . If line m is perpendicular to line l, what is a possible equation of line m?

a)

y=−13x+2y=-\frac{1}{3}x+2

b)

y=13x−1y=\frac{1}{3}x-1

c)

y=−3x+1y=-3x+1

d)

y=3x+23y=3x+\frac{2}{3}

176.

The selected values of a function shown in the table above represent a linear function. Which of the following equals f(10)?

a)

36

b)

40

c)

42

d)

44

177.

Write the equation of a line PARALLEL to y = 2x + 3 that passes through the point (3, 1).

a)

y=2x −3y=2x\ -3

b)

y=2x−5y=2x-5

c)

y=2x + 1y=2x\ +\ 1

d)

y=−12x+52y=-\frac{1}{2}x+\frac{5}{2}

178.

Write the equation of a line PARALLEL to the line that passes through the point (3, 1).  y=−52x+10y=-\frac{5}{2}x+10  

a)

y=−52x + 6y=-\frac{5}{2}x\ +\ 6  

b)

y =−52x+172y\ =-\frac{5}{2}x+\frac{17}{2}  

c)

y=25x+6y=\frac{2}{5}x+6  

d)

y=25x+ 8y=\frac{2}{5}x+\ 8  

179.
What is the midpoint between (3, -1) and (7, -5)
a)
(5, -2)
b)
(10, -6)
c)
(5, -3)
d)
(2, -2)
180.

What is the value of x, the length of side AC?

a)

3√2

b)

3√3

c)

√3

d)

6

181.

What is the value of y, the length of side AB?

a)

3√2

b)

3√3

c)

√3

d)

6

182.

What is the value of y, the length of side BC?

a)

3√2

b)

2

c)

√2

d)

4

183.

What is the value of x, the length of side AB?

a)

3√2

b)

2

c)

√2

d)

4

184.

What is the value of x, the length of side CB?

a)

17√2

b)

8.5√2

c)

√2

d)

17√3

185.

What is the value of y, the length of side AC?

a)

17√2

b)

8.5√2

c)

√2

d)

17√3

186.

What is the value of y, the length of side AC?

a)

12√3

b)

6√3

c)

9

d)

9√3

187.
What is the length of side BT?
a)
8√2
b)
4√2
c)
8
d)
4
188.
What is the length of side AT?
a)
8√2
b)
4√2
c)
8
d)
4
189.
What is the length of side BO or BY?
a)
5
b)
√2
c)
20
d)
5√2
190.
Find the length of side a?
a)
8
b)
16
c)
4√3
d)
8√3
191.
Find the length of side b?
a)
8
b)
16
c)
4√3
d)
8√3
192.

Find the value of the angle marked x....

a)

90

b)

43

c)

47

d)

53

193.

Find the value of the angle marked x....

a)

50

b)

100

c)

80

d)

90

194.

Find the value of the angle marked x....

a)

125

b)

70

c)

110

d)

55

195.
If a is 600 , what is 2a ?
a)
300
b)
1200
c)
900
196.

How many degrees is angle c ?

a)

20

b)

45

c)

70

d)

none of the above

197.

What is the measure of the missing angle in degrees?

198.

An arc subtends a central angle of π3\frac{\pi}{3} . The radius of the circle is 6 cm. If the length of the arc is kπ cm, where k is a constant, what is tha value of k?

(a)  

199.

An arc subtends a central angle of π10\frac{\pi}{10} . The radius of the circle is 6 cm. If the length of the arc is kπ cm, where k is a constant, what is tha value of k?

(a)  

200.

A sector of a circle has a central angle of π4\frac{\pi}{4} . The radius of the circle is 8 cm. If the area of the sector is kπ cm², where k is a constant, what is the value of k?

(a)  

201.
Find the measure of arc AB.
a)
17
b)
34
c)
68
d)
146
202.
Find the length of the bold arc.Leave pi in your answer.
a)
5688π ft
b)
15.8π ft
c)
150.4π ft
d)
54,150 ft
203.

Find the arc length.  Leave your answer in terms of π.

a)
7/4π
b)
7/2π
c)
1/8π
d)
45π
204.
Find the area of each sector.
a)
52.4 in2
b)
18,864 in2
c)
60 in2
d)
10.47 in
205.

We can also solve by converting angle to radians and using the formula A = 12r2θ\frac{1}{2}r^2\theta

Find the area of the sector formed by the central angle.

a)
52.4 in2
b)
18,864 in2
c)
60 in2
d)
10.47 in
206.

What is the area of sector​ GPH?

a)

9π yd2

b)

32π yd2

c)

18π yd2

d)

6π yd2

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