문자와 식 전체 문제

Simplify Expressions by Combining Like Terms

In the following exercises, simplify the following expressions by combining like terms.

$6+5c+3$

Simplify Expressions by Combining Like Terms

In the following exercises, simplify the following expressions by combining like terms.

$8n+2+4n+9$

Simplify Expressions by Combining Like Terms

In the following exercises, simplify the following expressions by combining like terms.

$19p+5+4p-1+3p$

Simplify Expressions by Combining Like Terms

In the following exercises, simplify the following expressions by combining like terms.

$7{y}^{2}+2y+11+3{y}^{2}-8$

Simplify Expressions by Combining Like Terms

In the following exercises, simplify the following expressions by combining like terms.

$13{x}^{2}-x+6+5{x}^{2}+9x$

Translate English Phrases to Algebraic Expressions

In the following exercises, translate the following phrases into algebraic expressions.

the difference of $x$ and $6$

Translate English Phrases to Algebraic Expressions

In the following exercises, translate the following phrases into algebraic expressions.

the sum of $10$ and twice $a$

Translate English Phrases to Algebraic Expressions

In the following exercises, translate the following phrases into algebraic expressions.

the product of $3n$ and $9$

Translate English Phrases to Algebraic Expressions

In the following exercises, translate the following phrases into algebraic expressions.

the quotient of $s$ and $4$

Translate English Phrases to Algebraic Expressions

In the following exercises, translate the following phrases into algebraic expressions.

$5$ times the sum of $y$ and $1$

Translate English Phrases to Algebraic Expressions

In the following exercises, translate the following phrases into algebraic expressions.

$10$ less than the product of $5$ and $z$

Jack bought a sandwich and a coffee. The cost of the sandwich was $\char36 3$ more than the cost of the coffee. Call the cost of the coffee $c.$ Write an expression for the cost of the sandwich.

The number of poetry books on Brianna’s bookshelf is $5$ less than twice the number of novels. Call the number of novels $n.$ Write an expression for the number of poetry books.

Determine Whether a Number is a Solution of an Equation

In the following exercises, determine whether each number is a solution to the equation.

$y+16=40$

• ⓐ $24$
• ⓑ $56$

Determine Whether a Number is a Solution of an Equation

In the following exercises, determine whether each number is a solution to the equation.

$d-6=21$

• ⓐ $15$
• ⓑ $27$

Determine Whether a Number is a Solution of an Equation

In the following exercises, determine whether each number is a solution to the equation.

$4n+12=36$

• ⓐ $6$
• ⓑ $12$

Determine Whether a Number is a Solution of an Equation

In the following exercises, determine whether each number is a solution to the equation.

$20q-10=70$

• ⓐ $3$
• ⓑ $4$

Determine Whether a Number is a Solution of an Equation

In the following exercises, determine whether each number is a solution to the equation.

$15x-5=10x+45$

• ⓐ $2$
• ⓑ $10$

Determine Whether a Number is a Solution of an Equation

In the following exercises, determine whether each number is a solution to the equation.

$22p-6=18p+86$

• ⓐ $4$
• ⓑ $23$

Model the Subtraction Property of Equality

In the following exercises, write the equation modeled by the envelopes and counters and then solve the equation using the subtraction property of equality.