100 - 6th Grade - Mixture 1

Exponents

100

Evaluate   3²

A.  6

B.  9

C.  3

D. 4

B.   9

3^2=3*3=9

200

Evaluate     2³

A.  6

B.  9

C.  7

D.  8

D.   8

2^3=2*2*2=8

300

Evaluate 5 + 4²

A.  400

B.  13

C.  21

D.  40

C.  21

5+4^2

5+16

21

400

Evaluate   3² + 4 - 2³

A.  18

B.  5

C.  21

D.  2

B.   5

3² + 4 - 2³

9 + 4 - 8

13 - 8

5

500

Evaluate 3(5)²

A.  225

B.  75

C.  30

D. 15

B.  75

3(5)²

3(25)

75

PEMDAS

100

Evaluate:      2 + 4 x 6

A.  36

B.  26

C.  30

D.  41

B.  26

2 + 4 x 6

2 + 24

26 

200

Evaluate:   8 - (3)(2) + 4

A.  -2

B.  14

C.  2

D.  6

D.  6

8 - (3)(2) + 4

8 - 6 + 4

2 + 4

6

300

Evaluate:   4² - 3 x 2

A.  2

B.  26

C.  15

D.  10

D.  10

4² - 3 x 2

16 - 6

10

400

Evaluate:  

2/3 + 4 - 2/3

"A. "  2/3   "  B. " 4 2/3

"C. " 1/3    "  D. "  4

"D. " 4

2/3 + 4 - 2/3

4 2/3 - 2/3

4

500

((4*3-2)+14)/(6*2+12)

A.   5         B.    1

C.   2         D.    3

"B. " 1

((4*3-2)+14)/(6*2+12)

((12-2)+14)/(12+12)

(10+14)/(24)

24/24

1

Evaluate Expressions

100

Evaluate:   x²     for x = 6

"A. " 36       "B. " 12

"C. "  1       "D. " 66

      

A.   36

x²     for x = 6

6²

36

200

Evaluate:   6y - 8    for  y = 3

6y - 8    for  y = 3

6(3) - 8

18 - 8

10

300

Evaluate:    2x - 3y - 12   for x = 2, y = 3

2x - 3y - 12   for x = 2, y = 3

2(2) - 3(3) - 12 = 4 - 9 - 12

-5 - 12

-17

400

2 xx 2/(3*x^2) , x = 2

2 xx 2/(3*x^2) , x = 2

2 xx 2/(3*2^2)

2 xx 2/(3*4)

2 xx 2/12

2 xx 1/6

2/6  = 1/3

500

(2*3*4*x*5*6*7)/(3*5*7*2*4*6*x), x=8

(2*3*4*x*5*6*7)/(3*5*7*2*4*6*x), x=8

(2*3*4*8*5*6*7)/(3*5*7*2*4*6*8)

(2*3*4*5*6*7*8)/(2*3*4*5*6*7*8)

1

Writing Expressions with Variables

100

Write the expression:   

the sum of a number, x, and 4

"A. " x-4 "      B. " x+4

"C. " 4x  "      D. "  4/x

"B. " x+4

200

Write the expression:

the square of a number, y, minus 4

"A. " y-4^2 " B. " y^2-4

"C. "2y-4 "   D. "y-4(2)

B.   y² - 4

300

Write the expression:

the quotient of 8 and some number, z

8/z

400

Write the expression:

the product of a 9 and some number, t

9t

500

32 less than some number, d

d - 32

Combining like terms

100

Combine the following if possible:

3x + 2x

5x

200

7x - 2x + 3x

8x

300

x + 3x + 8x

12x

400

7(x + 2) + 3x

7(x + 2) + 3x

7x + 14 + 3x

10x + 14

500

3(x - 5) + 4 - 7x

3(x - 5) + 4 - 7x

3x - 15 + 4 - 7x

3x - 7x + 4 - 15

-4x - 11