Common Assessment 7 Review

Front

What is the process to find a fraction of a quantity?

Back

To find a fraction of a quantity, multiply the quantity by the numerator of the fraction and then divide by the denominator. For example, to find 3/4 of 8, calculate (3 * 8) / 4 = 6.

Front

How do you simplify an expression with parentheses?

Back

To simplify an expression with parentheses, use the distributive property. For example, in 5 + x(10 + 12), distribute x to both 10 and 12: 5 + 10x + 12x = 5 + 22x.

Front

What is the total cost if you buy multiple items at different prices?

Back

To find the total cost, multiply the quantity of each item by its price and then sum all the costs. For example, 3 cones at $1.25 each and 5 fries at $1.75 each gives a total of (3 * 1.25) + (5 * 1.75) = $3.75 + $8.75 = $12.50.

Front

What is the least common multiple (LCM) and how is it found?

Back

The least common multiple (LCM) of two numbers is the smallest number that is a multiple of both. To find the LCM, list the multiples of each number and find the smallest common one. For 5 and 7, the LCM is 35.

Front

What does it mean to increase a number by a certain amount?

Back

To increase a number by a certain amount means to add that amount to the original number. For example, increasing 7 by 5 means calculating 7 + 5 = 12.

Front

How do you calculate the remaining balance after purchases?

Back

To calculate the remaining balance, subtract the total amount spent from the initial amount. For example, if you start with $20 and spend $19, the remaining balance is $20 - $19 = $1.

Front

What is a mathematical expression?

Back

A mathematical expression is a combination of numbers, variables, and operators (like +, -, *, /) that represents a value. For example, 3x + 5 is an expression.

Front

What is the distributive property in mathematics?

Back

The distributive property states that a(b + c) = ab + ac. It allows you to multiply a single term by two or more terms inside parentheses.

Front

How do you find the product of a number and a variable?

Back

To find the product of a number and a variable, simply multiply them together. For example, the product of 7 and n is written as 7n.

Front

What is a fraction?

Back

A fraction represents a part of a whole and consists of a numerator (top number) and a denominator (bottom number). For example, 1/2 means one part out of two equal parts.