Finding the Value of the Numerical Expression
Equivalent Value
Statement vs. Expression
Error Analysis
Challenge Accepted
100

34 + 5 - 13

26

100

Which expression simplifies to 24?

A. 5 x 10 - 3 x4

B. 4 x 4 + 2 x 4

C. 72 + 40 - 100

D. 4 x 8 - 6

B. 4 x 4 + 2 x 4

100

Write the numeric expression to match the statement. 

subtract 16 to the product of 4 and 4

4 x 4 - 16

100

Which step does the mistake first appear?

4 x (3 x 8 ÷ 2) + 6

Step 1: 4 x (24 ÷ 2) + 6

Step 2: 4 x 12 + 6

Step 3: 4 x 18

Step 4: 72

Step 3: The student should have multiplied 4 times 12 and then add 6.

100

Multi-Select all the values that is equivalent to the expression:6 x (24-3 x 2) ÷ 4

A. 6 x (21-6) ÷ 4

B. 6 x (24-6) ÷ 4

C. 6 x 15 ÷ 4

D. 108 ÷ 4

E. 27

B. 6 x (24-6)÷ 4

D. 108 ÷ 4

E. 27

200

(6 + 2) x 4 ÷ 8

4

200

Which expression simplifies to 40?

A. 45-5+10

B. 10 x 4 + [2 + 8]

C. ½ x [40 x 2]

D. ½ x [20 +10]

C. ½ x [40 x 2]

200

Which statement matches the numeric expression?

5 x (125 + 535)


A. The value is 5 fewer than the sum of 125 and 535.

B. The value of is 535 times more than than the sum of 125 and 5.

C. The value is 5 times as large as the sum of 125 and 535.

 D. The value is 5 times as large as the difference of 125 and 535.


C. The value is 5 times as large as the sum of 125 and 535.

200

Which step does the error first appear?

(6 x 7) + (12 ÷ 6) -4

Step 1: (6 x 7) + 12 ÷ 2

Step 2: (6 x 7) + 6

Step 3: 42 + 6

Step 4: 36

Step 1: Operations in the parentheses should have been solved first. Instead of subtracting 6 and 4, the correct order should have been (6 times 7) and ( 12 divide by 6).

200

Which expression simplifies to 24?

A. 2 x (6 +4) -8

B. 2 x (12 + 24) -48

C. 2 x 16-28

D. 2 x (54-14 x 3)-10

E.

B. 2 x (12 + 24) -48

300

6 x (24 + 12) -7

209

300

Which expression simplifies to 29?

A. (7 x 3) + (4 x 2)

B. (32 ÷ 4) -(3 x 2)

C. (16 x 2) -7

D. (8 x 3) + 4

A. (7 x 3) + (4 x 2)

300

Write the numeric expression as a statement. 

15 x (3 -2)

Choose all statements that are true.

A. 15 multiplied by the difference of 3 and 2

B. the quotient of 3 and 2 multiplied by 15

C. the difference of 3 and 2, multiplied by 15 

D. multiply the product of 15 and 3, then subtract 2

E. subtract 3 and 2 and multiply the difference by 15

A. 15 multiplied by the difference of 3 and 2

C. the difference of 3 and 2, multiplied by 15 

E. subtract 3 and 2 and multiply the difference by 15

300

Which step does the mistake first appear?

3 x (18 ÷ 6 x 4) - 2

Step 1: 3 x (3 x 4) - 2

Step 2: 3 x 12 - 2

Step 3: 3 x 10

Step 4: 30

Step 3: Order of Operation states that multiplication and division is priority over subtraction and addition. The student should have multiplied 3 x 12 first and then the product is subtracted by 2.

300

An expression is  shown.

½ x 24 + 8 ÷ 2 x 10

Place a set of parentheses in the expression above, so the value is 80.

A. ½ x (24 + 8) ÷ 2 x 10

B.(½ x 24) + 8 ÷ 2 x 10

C.½ x (24 + 8 ÷ 2) x 10

D.½ x 24 + 8 ÷ (2 x 10)

E. ½ x 24 + (8 ÷ 2 x 10)

A. ½ x (24 + 8) ÷ 2 x 10

400

½ x (50 ÷ 5) + 15

20

400

Which expression simplifies to 105?

A. 90 x 2 -45

B. (100 - 35) +10

C. (35 x 2) + ( 12 x 7) - 49

D. (10 x 10) + (3 x 10)

C. (35 x 2) + ( 12 x 7) - 49

400

What numeric expression shows "divide 32 by 4 and then subtract 7"?

A.  32 x 4-7

B. 32-4÷7

C.32 ÷ (4-7)

D. (32÷ 4)-7

D. (32÷ 4)-7

400

Which step does the error first appear?

15 ÷ 3 + ( 2 x 10 - 5)

Step 1: 15 ÷ 3 + ( 20 - 5)

Step 2: 15 ÷ 3 + 15

Step 3: 5 + 15 

Step 4: 10



Step 4: 5 plus 15 is equals 20 and not 10.

400

An expression is  shown.

½ x 50 -26 ÷ 2 x 5

Place a set of parentheses in the expression above, so the value is 30.

A. ½ x 50 -(26 ÷ 2) x 5

B.(½ x 50) -26 ÷ 2 x 5

C.½ x (50 -26) ÷ 2 x 5

D.½ x 50 -(26 ÷ 2 x 5)

E. All of the above.

C.½ x (50 -26) ÷ 2 x 5

500

7 x { 32 - 3 x 4 } ÷ 5

28

500

Which expression simplifies to 72?

A. 55 ÷ 5 + (32-12)

B. (10 x 10) -28

C.  (10 x 10) + (3 x 10)

D. 3 x 10 ÷ 15 + 54

B. (10 x 10) -28

500

Which statement describes the value of the expression 2 x (224 -112)

A. The value is 2 fewer than the product of 224 and 112.

B. The value of is 112 times more than than the sum of 224 and 2.

C.The value is 2 times as large as the sum of 224 and 112.

 D. The value is 2 times as large as the difference of 224 and 112.

D. The value is 2 times as large as the difference of 224 and 112.

500

In which step does the mistake first appear?

Step 1: 12−4−2+6+12÷4 x2

Step 2: 12−2+6+12÷4 x2

Step 3: 12−8+12÷4 x 2

Step 4: 12−8+3 x 2

Step 5: 12−8+5

Step 6: 4+5= 9

Step 5

3 x 2 is not 5, it is 6.

The answer should be 10.

500

Multi-Select all the values that is equivalent to the expression:

8 x { 40 + 3 x 6} ÷ 4

A. 4 x (17 + 12)

B. (4 x 17) + 12

C. [27 + 41 - 10] x 2

D. (7 x 6) -30

A. 4 x (17 + 12)

C. [27 + 41 - 10] x 2