Expressions, Equations, and Functions

Write an algebraic expression for each verbal expression.

A number increased by $9$

Write a verbal expression for each algebraic expression.

two thirds of a number d to the third power

Write a verbal expression for each algebraic expression.

5 less than four times a number

Evaluate each expression.

$2^5$

Fantastic Pins Bowling Alley charges \( 2.50 for shoe rental plus \) 3.25 for each game. Write an expression representing the cost to rent shoes and bowl g games.

Evaluate each expression.

$24-4\times 5$

Evaluate each expression if $a=4, b=3$ and $c=9$.

$c+3a$

Evaluate each expression if $a=4, b=3$ and $c=9$.

$5b^2÷c$

Evaluate each expression if $a=4, b=3$ and $c=9$.

$\left(a^2+2bc\right)÷7$

ICE CREAM The cost of a one-scoop sundae is $\backslash (2.75$, and the cost of a two-scoop sundae is $\backslash )4.25$. Write and evaluate an expression to find the total cost of 3 one-scoop sundaes and 2 two-scoop sundaes.

Evaluate each expression using properties of numbers. Name the property used in each step.

$18·3\left(1÷3\right)$

Evaluate each expression using properties of numbers. Name the property used in each step.

$\left[5÷\left(8-6\right)\right]\frac{2}{5}$

Evaluate each expression using properties of numbers. Name the property used in each step.

$\left(16-4^2\right)+9$

Evaluate each expression using properties of numbers. Name the property used in each step.

$2·\frac{1}{2}+4\left(4·2-7\right)$

Evaluate each expression using properties of numbers. Name the property used in each step.

$18+41+32+9$

Evaluate each expression using properties of numbers. Name the property used in each step.

$7\frac{2}{5}+5+2\frac{3}{5}$

Evaluate each expression using properties of numbers. Name the property used in each step.

$8·0.5·5$

Evaluate each expression using properties of numbers. Name the property used in each step.

$5.3+2.8+3.7+6.2$

Monica needs to purchase a binder, a textbook, a calculator, and a workbook for her algebra class. The binder costs $\backslash (9.25$, the textbook $\backslash )32.50$, the calculator $\backslash (18.75$, and the workbook $\backslash )15.00$. Find the total cost for Monica's algebra supplies.

Use the Distributive Property to rewrite each expression. Then evaluate.

$\left(2+3\right)6$

Use the Distributive Property to rewrite each expression. Then evaluate.

$5\left(18+12\right)$

Use the Distributive Property to rewrite each expression. Then evaluate.

$8\left(6-2\right)$

Use the Distributive Property to rewrite each expression. Then evaluate.

$\left(11-4\right)3$

Use the Distributive Property to rewrite each expression. Then evaluate.

$-2\left(5-3\right)$

Use the Distributive Property to rewrite each expression. Then evaluate.

$\left(8-3\right)4$

Rewrite each expression using the distributive property. Then simplify.

$3\left(x+2\right)$

Rewrite each expression using the distributive property. Then simplify.

$\left(m+8\right)4$

Rewrite each expression using the distributive property. Then simplify.

$6\left(d-3\right)$

Rewrite each expression using the distributive property. Then simplify.

$-4\left(5-2t\right)$

Rewrite each expression using the distributive property. Then simplify.

$\left(9y-6\right)\left(-3\right)$

Rewrite each expression using the distributive property. Then simplify.

$-6\left(4z+3\right)$

TUTORING Write and evaluate an expression for the number of tutoring lessons Mrs. Green gives in 4 weeks.

Find the solution of each equation if the replacement sets are $x:\left\{1,3,5,7,9\right\}$ and $y:\left\{6,8,10,12,14\right\}$

$y-9=3$

Find the solution of each equation if the replacement sets are $x:\left\{1,3,5,7,9\right\}$ and $y:\left\{6,8,10,12,14\right\}$

$14+x=21$

Find the solution of each equation if the replacement sets are $x:\left\{1,3,5,7,9\right\}$ and $y:\left\{6,8,10,12,14\right\}$

$4y=32$

Find the solution of each equation if the replacement sets are $x:\left\{1,3,5,7,9\right\}$ and $y:\left\{6,8,10,12,14\right\}$.

$3x-11=16$

Find the solution of each equation if the replacement sets are $x:\left\{1,3,5,7,9\right\}$ and $y:\left\{6,8,10,12,14\right\}$

$\frac{42}{y}=7$

Find the solution of each equation if the replacement sets are $x:\left\{1,3,5,7,9\right\}$ and $y:\left\{6,8,10,12,14\right\}$

$2\left(x-1\right)=8$

Solve each equation.

$a=24-7\left(3\right)$

Solve each equation.

$z=63÷\left(3^2-2\right)$

Solve each equation.

AGE Shandra's age is four more than three times Sherita's age. Write an equation for Shandra's age. Solve if Sherita is 3 years old.

Express the following relation as a table, a graph, and a mapping. Then determine the domain and range.

$\left\{\left(1,3\right),\left(2,4\right),\left(3,5\right),\left(4,6\right)\right\}$

Express the following relation as a table, a graph, and a mapping. Then determine the domain and range.

$\left\{\left(-1,1\right),\left(0,-2\right),\left(3,1\right),\left(4,-1\right)\right\}$

Express each relation as a table, a graph, and a mapping. Then determine the domain and range.

$\left\{\left(-2,4\right),\left(-1,3\right),\left(0,2\right),\left(-1,2\right)\right\}$

Express the relation shown in each table, mapping, or graph as a set of ordered pairs.

Express the relation shown in each table, mapping, or graph as a set of ordered pairs.

GARDENING On average, $7$ plants grow for every $10$ seeds of a certain type planted. Make a table to show the relation between seeds planted and plants growing for $50,100,150$ and $200$ seeds. Then state the domain and range and graph the relation.

$27÷3+\left(12-4\right)=$

A. $-\frac{11}{5}$

B. $\frac{27}{11}$

C. 17

D. 25

GRIDDED RESPONSE Ms. Beal had 1 bran muffin, 16 ounces of orange juice, 3 ounces of sunflower seeds, 2 slices of turkey, and half a cup of spinach. Find the total number of grams of protein she consumed.

Determine whether each relation is a function