5th Grade Math - Write and Interpret Simple Expressions that Record Calculations: CCSS.Math.Content.5.OA.A.2

Select the equation that reflects the phrase below.

First add and , then multiply by .

$(8+9)\times2$

$(18+9)\times2$

$8+9\times2$

$2\times8+9$

$2\times9+8$

Explanation

Because we want to add and first, we need to set that off into parentheses due to the order of operation rules. Then we can multiply by .

Select the equation that reflects the phrase below.

Add to the difference between and

$86\div54+22$

$86\times54+22$

Explanation

Difference means the answer to a subtraction problem. Because we are adding a number to the difference, we need to do the subtraction problem first. Since we are adding and subtracting in this question, we do not need to use parentheses because with addition and subtraction you work the problem out from left to right. So first we have the subtraction problem, then we add.

Remember, order of operations is PEMDAS= parentheses, exponents, multiplication/division, addition/subtraction.

Select the equation that reflects the phrase below.

Find the product of times the quotient of divided by

$72\div9\times6$

$72-9\times6$

$72\times9\times6$

$9\times6\div72$

$72+9\times6$

Explanation

When you are asked to find the product that means we are going to multiply. Because we are multiplying and dividing in this question, we do not need to use parentheses because with multiplication and division you work the problem out from left to right. So first we have the division problem, then we multiply because it says to find the product of the quotient (answer to a division problem), which means we need to divide first.

Remember, order of operations is PEMDAS= parentheses, exponents, multiplication/division, addition/subtraction.

Select the equation that reflects the phrase below.

Subtract from the quotient of divided by

$100\div4-5$

$100\div(4-5)$

$100\div(5-4)$

$100\times4-5$

$100\div4+5$

Explanation

Because of our order of operations, the division problem needs to come first. We list the subtraction last because we are subtracting a number by the quotient, so the quotient needs to be listed first.

Remember, order of operations is PEMDAS= parentheses, exponents, multiplication/division, addition/subtraction.

Select the equation that reflects the phrase below.

Find less than the product of and

$9\times6-17$

$9\div6-17$

$9\times6+17$

$9\div6+17$

$9\times(6-17)$

Explanation

The phrase "less than the product" means that we are going to subtract from the answer of our multiplication problem. Because of our order of operations, multiplication will come beore subtraction so we do not need to use parentheses.

Remember, order of operations is PEMDAS= parentheses, exponents, multiplication/division, addition/subtraction.

Select the equation that reflects the phrase below.

Find the product of times the quotient of divided by

$54\div9\times6$

$54\div(9\times6)$

$54\times9\times6$

$54\div9-6$

$54\div9+6$

Explanation

Remember, order of operations is PEMDAS= parentheses, exponents, multiplication/division, addition/subtraction.

Select the equation that reflects the phrase below.

Add to the product of and

$4\times11+29$

$4\times11\times29$

$4\div11+29$

$4\div11\times29$

Explanation

Product means the answer to a multiplication problem. Becuase of our order of operation rules, the multiplication problem will come first, regardless of if it's listed first or second. Then we add.

Remember, order of operations is PEMDAS= parentheses, exponents, multiplication/division, addition/subtraction.

Select the equation that reflects the phrase below.

Find more than and then find less than the sum.

$43\times34-20$

$43\times34+20$

Explanation

The phrase "more than" means to add. Because we are adding and subtracting in this question, we do not need to use parentheses because with addition and subtraction you work the problem out from left to right. So first we have the addition problem, then we subtract.

Remember, order of operations is PEMDAS= parentheses, exponents, multiplication/division, addition/subtraction.

Select the equation that reflects the phrase below.

Divide by the quotient of divided by

$6\div(24\div8)$

$6\div(24\times8)$

$6\times(24\div8)$

$6\div(24-8)$

$6+(24\div8)$

Explanation

Quotient means the answer to a division problem. Because we want to divide by the answer of $24\div8$ we need to put that in parentheses so that it's done first.