Free Printable LEAP Review

1.

^{What is the solution?}

a)

1

b)

-2

c)

(1, 2)

d)

(1, -1)

2.

This system has _____ solutions

a)

no

b)

1

c)

2

d)

Infinitely many

3.

^{What is the solution?}

a)

1

b)

-2

c)

(1, 2)

d)

(1, -1)

4.

What is the solution to the system?

a)

(0, 3)

b)

(1, -1)

c)

(-3, 1)

d)

(1, 3)

5.

What is the solution?

a)

(6, 3)

b)

(3, 6)

c)

(-6, 3)

d)

No solution

6.

These two lines intersect at _____.

a)

(4, -2)

b)

(4, 2)

c)

(-2, 4)

d)

No solution

7.

Buzz graphed two lines in order to find the solution to a given system of equations.
What is the solution?

a)

(-1, 4)

b)

(1, -4)

c)

(-4, 1)

d)

(4, -1)

8.

^{What is the solution?}

a)

1

b)

-2

c)

(1, 2)

d)

(1, -1)

9.

These two lines intersect at ______.

a)

(-8, -6)

b)

(-6, -8)

c)

(8, -6)

d)

No solution

10.

The solution to the system is

a)

(-2, -8)

b)

(-8, -2)

c)

(2, -8)

d)

No solution

11.

Solve the following system by graphing. What is the solution?

a)

(-4, 2)

b)

(4, 2)

c)

(2, -4)

d)

(2, 4)

12.

What is the solution?

a)

(6, 3)

b)

(3, 6)

c)

(-6, 3)

d)

No solution

13.

Solve:
y=8x+1
y=6x+3

a)

(1, 9)

b)

(4, 14)

c)

(0, 1)

d)

(2, 4)

14.

a)

A

b)

B

c)

C

d)

D

15.

a)

A

b)

B

c)

C

d)

D

16.

a)

A

b)

B

c)

C

d)

D

17.

a)

A

b)

B

c)

C

d)

D

18.

a)

A

b)

B

c)

C

d)

D

19.

a)

A

b)

B

c)

C

d)

D

20.

a)

A

b)

B

c)

C

d)

D

21.

a)

A

b)

B

c)

C

d)

D

22.

a)

A

b)

B

c)

C

d)

D

23.

Slope, in basic terms, is simply...

a)

Rise over run

b)

Run over rise

c)

Left over down

d)

Right over up

24.

In the equation y=mx+b, m is the ____.

a)

Slope

b)

Y-intercept

c)

X-intercept

d)

Origin

25.

In the equation y=mx+b, b is the ____.

a)

Slope

b)

Y-intercept

c)

X-intercept

d)

Origin

26.

The horizontal axis is the _____.

a)

X-axis

b)

Y-axis

c)

Origin

d)

Slope

27.

The vertical axis is the _____.

a)

X-axis

b)

Y-axis

c)

Origin

d)

Slope

28.

When you translate, (x+2,y) will move _____.

a)

2 units right

b)

2 units left

c)

2 units up

d)

2 units down

29.

When you translate, (x-4,y) will move _____.

a)

4 units right

b)

4 units left

c)

4 units up

d)

4 units down

30.

Find the slope of the line that passes through the points (2, 4) and (6, 12)

a)

1/2

b)

-1/2

c)

2

d)

-2

31.

Find the slope:
(-4, 3) and (-4, -7)

a)

5/4

b)

-10/8

c)

Zero

d)

Undefined

32.

Find the slope:

(8,5) and (-9, 5)

a)

0

b)

Undefined

c)

-10/17

d)

-10/1

33.

Find the slope:

a)

3/4

b)

4/3

c)

-3/4

d)

-4/3

34.

find the slope

a)

3/2

b)

-3/2

c)

(-0,-3)

d)

none of the above

35.

Simplify: 5⁸ x 5^-3

a)

5⁵

b)

5¹¹

c)

5^-24

d)

25⁵

36.

Simplify: (b⁶)²

a)

b⁸

b)

b⁴

c)

b¹²

d)

b³

37.

Write the following in scientific notation:

65,000,000

a)

65 x 10⁶

b)

6.5 x 10⁷

c)

-6.5 x 10⁶

d)

6.5 x 10^-7

38.

How many times greater is

8.2 x 10⁸ then 200,000

a)

41 times greater

b)

410 times greater

c)

4.1 times greater

d)

4,100 times greater

39.

Which linear equation has a slope of -3 and a y-intercept of (0,4)?

a)

y = 3x - 4

b)

y = -3x + 4

c)

y = 4x - 3

d)

y = -4x + 3

40.

A repeating decimal is what type of number?

a)

Rational

b)

Irrational

c)

Integer

d)

Whole

41.

Is √2 Irrational?

a)

Yes

b)

No

42.

a)

Rational

b)

Irrational

c)

Rational, Integer

d)

Whole, Integer, Rational

43.

The square root of a number is between 8 and 9. Which of these could be that number?

a)

17

b)

63

c)

71

d)

89

44.

-4-4

a)

0

b)

8

c)

-8

d)

4

45.

Simplify
m⁵⋅m²

a)

m⁷

b)

m³

c)

m¹⁰

d)

m²

46.

a)

3y¹⁰

b)

3y²¹

c)

27y¹⁰

d)

27y²¹

47.

a)

5⁸

b)

5⁶

c)

5²

d)

1

48.

19 + a = -50

a)

a = -950

b)

a = -69

c)

a = -31

d)

a = -50/19

49.

x - 8 = -5

a)

13

b)

-13

c)

3

d)

-3

50.

x + 12 = 20

a)

x = 32

b)

x = -32

c)

x = 8

d)

x = -8

51.

Solve for x:

a)

x = 20

b)

x = 7

c)

x = 10

d)

x = 3

52.

Figure out what n equals in this equation:
6n + 4 = -26

a)

n=-6

b)

n= -5

c)

n= 8

d)

n= -4

53.

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

54.

What is the opposite of squaring a number?

a)

divide

b)

multiply

c)

fractions

d)

square root

55.

Find the length of the missing side. (Calculators are allowed)

a)

17 cm

b)

22 cm

c)

15 cm

d)

13 cm

56.

In a right triangle __________is ALWAYS the longest side.

a)

a leg

b)

a hypotenuse

57.

Find the missing side. (Calculators are allowed)

a)

9

b)

41

c)

6.4

d)

3

58.

what is the formula for finding the hypotnuse?

a)

a²+ b²=c²

b)

a+b=c

c)

a²-b²=c²

d)

c²-a²=b

59.

Find the length of the missing side. (Calculators are allowed)

a)

25 cm

b)

42 cm

c)

52 cm

d)

48 cm

60.

Which set of sides would make a right triangle?

a)

4,5,6

b)

8,10,12

c)

5,12,13

d)

5,10,12

61.

Find the missing side. (Calculators are allowed)

a)

48

b)

108

c)

83.6

d)

72

62.

Would a triangle with these side lengths be a right triangle?
4, 5, 6

a)

Yes

b)

No

63.

Casey travels from her house directly west to the bank and then directly north from the bank to the mall. She then travels home on the road connecting the mall and her house. What is her total distance traveled? (Calculators are allowed)

a)

17 miles

b)

32 miles

c)

37 miles

d)

40 miles

64.

Find h

a)

35.60

b)

35.00

c)

35.71

d)

61.03

65.

What is another word for AVERAGE?

a)

Mode

b)

Median

c)

Mean

d)

Not nice

66.

Calculate the mean.

2, 9, 10, 6, 8

a)

8

b)

4

c)

7

d)

22

67.

Find the mean:
28, 18, 19, 18, 17

a)

20

b)

18

c)

11

d)

19

68.

Calculate the mean.

2, 9, 10, 6, 8

a)

8

b)

4

c)

7

d)

22

69.

What axis is the triangle being reflected over?

a)

X-axis

b)

Y-axis

70.

Which answer shows a reflection across the x-axis?

a)

d

b)

c

c)

b

d)

a

71.

Which transformation is NOT a rigid motion (the size changes)?

a)

reflection

b)

rotation

c)

dilation

d)

translation

72.

A rigid motion ...

a)

preserves size and location

b)

preserves shape and location

c)

preserves size and shape

d)

makes the figure larger

LEAP Review

Total questions: 72

Worksheet time: 7hrs 16mins

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