6th Grade Math - SBAC - Round 2

Graphing

100

What are the coordinates of the point described? 

Start at the origin, move right 6 spaces, move down 4 spaces.

(6, -4)

200

If point (a, b) is located at (2, 2), where is point (-a, -b)?

(-2, -2)

300

If point (x, y) is (2, 6), where quadrant is point (x, -y) in?

(2, -6) is in QIV

400

Select all ordered pairs that are located in the second quadrant of the coordinate grid.

A. (6, -8)

B. (-6, 8)

C. (-8, -7)

D. (-8, 7)

B, D

500

What is the distance between point B(2, 3) and C(8, 3)

6 units

Geometry

100

Select all the measurements that could represent volume.

A. 10 ft³

B. 20 3/4 mm³

C. 85.5 km³

D. 300 cm²

A, B, C

200

A rectangle has sides that are 4 feet and 10 feet.

What is the perimeter and the area?

P = 28 ft

A = 40 ft²

300

A triangle has a base of 6 in and a height of 4 in. What is the area?

A = 12in²

400

What is the volume of a rectangular prism that has a length of 3/4 m, a width of 1 1/2 m, and a height of 3 m?

27/8 m³

3 3/8 m³

500

What is the volume of a cube with a side length of 2/3 km?

8/27 km³

Algebraic Expressions

100

Let m = 34 and n = 5. 

m - 8 + n x 5 = ?

51

200

Let e = 5 and f = 6. 

4e - f = ?

14

300

What is 56 ÷ y³−2 ⋅ 3 when y =2.

1

400

Write a numerical expression that represents the sum of fourteen squared and seventy-five.

14² + 75

500

Let g = 7 and h = 255. 39 - g + h / 15 = ?

49

Simplify Expressions

100

Simplify. 7a + 9b + 8a + 8b

15a + 17b

200

Simplify. 42x + 40y - 11x + 13y

31x + 53y

300

Simplify. 6(9y + 3z)

54y + 18z

400

Simplify. 4(3w + 7) + 2w

14w + 28

500

Simplify. 3(r + 2) + 7(2r)

17r + 6

Solve Equations

100

Solve.

x - 7.3 = 11 

x = 18.3

200

Solve.

7  2/5 = x - 4  1/5

11 3/5

300

Solve. 

72 = 8d

d = 9

400

Solve.

w/4 = 12

w = 48

500

What value for x makes the sentence true? 

30 = 44 - 2y 

A. y = 7 

B. y = 5

C. y = 15

A. y = 7