Topic 4 Test

Front

What is the expression to calculate the total price of g pounds of grapes, b pounds of bananas, and p pounds of pears if grapes cost $2.19 per pound, bananas $0.59 per pound, and pears $1.49 per pound?

Back

2.19g + 0.59b + 1.49p

Front

How do you find the total number of ice cream cones sold if 8x + 16 were sold on Saturday and 7x - 9 were sold on Sunday?

Back

Combine the expressions: (8x + 16) + (7x - 9) = 15x + 7.

Front

What is the GCF of the expression 8a + 16c?

Back

The GCF is 8, so the expression can be factored as 8(a + 2c).

Front

How do you evaluate the expression 8a + 16c when a = -5 and c = -1?

Back

Substitute the values: 8(-5) + 16(-1) = -40 - 16 = -56.

Front

Simplify the expression: -4b + 8c + 12 - 8b - 2c + 6.

Back

Combine like terms: -12b + 6c + 18.

Front

What does GCF stand for in mathematics?

Back

GCF stands for Greatest Common Factor, which is the largest factor that divides two or more numbers.

Front

What is the purpose of factoring an expression?

Back

Factoring an expression simplifies it and can make solving equations easier.

Front

What is a variable in algebra?

Back

A variable is a symbol, often a letter, that represents an unknown value.

Front

What is the difference between an expression and an equation?

Back

An expression is a combination of numbers and variables without an equality sign, while an equation states that two expressions are equal.

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to combine like terms and reduce it to its simplest form.