Compute: $$7 + 5$$

(a)  

Compute: $$-5 + (-8)$$

(a)  

Compute: $$6 + (-1)$$

(a)  

Use addition to rewrite the subtraction expression below without changing the digits. Do not solve.
$$-15 - (-7)$$

(a)  

Use addition to rewrite the subtraction expression below without changing the digits. Do not solve.
$$-2 - 1$$

(a)  

Use addition to rewrite the subtraction expression below without changing the digits. Do not solve. $$-18 - 14$$

(a)  

Compute: $$(-2) - 8$$

(a)  

Compute: $$-1 - (-1)$$

(a)  

Use multiplication to expand the expression below. Then compute. $$5^2$$

(a)  

Use an exponent to condense the expression below. Then compute. $$1 \times 1 \times 1 \times 1$$

(a)  

Use multiplication to expand the expression below. Then compute. $$(-3)^5$$

(a)  

Use an exponent to condense the expression below. Then compute. $$-10 \times -10$$

(a)  

Simplify the expression below using the order of operations. $$5^3 - (6 + 3) + 10$$

(a)  

Simplify the expression below using the order of operations. $$1 + \dfrac{32}{2^3 - 5}$$

(a)  

Without dividing, determine if 62,310 is divisible by 4 and explain how you know.

(a)  

Without dividing, determine if 27,895 is divisible by 6 and explain how you know.

(a)  

Without dividing, determine if 73,644 is divisible by 9 and explain how you know.

(a)  

Simplify the expression below using the order of operations. $$4^3 + 9^1 \times 9 - 5$$

(a)  

Simplify the expression below using the order of operations. $$3^3 + 8 - 2^1 \times 10$$

(a)  

What is the value of the expression $$5y + 4$$ when $$y = 5$$ ?

(a)  

What is the value of the expression $$5y - z$$ when $$y = 5$$ and $$z = 7$$ ?

(a)  

What is the value of the expression $$5w^2 - 3w + 8$$ when $$w = 2$$ ?

(a)  

What is the value of the expression $$z^2 - 2z - 7$$ when $$z = 5$$ ?

(a)  

Simplify: $$\dfrac{14}{32}$$

(a)  

Convert $$9\,\dfrac{1}{8}$$ to an improper fraction.

(a)  

Convert $$\dfrac{14}{9}$$ into a mixed number.

(a)  

Convert $$\dfrac{17}{30}$$ to a decimal.

(a)  

Convert $$\dfrac{7}{10}$$ to a decimal.

(a)  

Convert 0.582 to a fraction in its simplest form.

(a)  

Convert $$\dfrac{19}{20}$$ to a decimal and a percent.

(a)  

Evaluate the expression below and write your answer as a fraction or mixed number in simplest form. $$\dfrac{7}{19} + \dfrac{3}{19}$$

(a)  

Evaluate the expression below and write your answer as a fraction or mixed number in simplest form. $$\dfrac{1}{4} - \dfrac{7}{6}$$

(a)  

Evaluate the expression below and write your answer as a fraction or mixed number in simplest form. $$-\dfrac{6}{13} + \dfrac{2}{13}$$

(a)  

Evaluate the expression below and write your answer as a fraction or mixed number in simplest form. $$-\dfrac{3}{7} - \dfrac{5}{9}$$

(a)  

Perform the operation below. Express your answer as a mixed number in simplest form.
$$2\,\dfrac{9}{10} - 1\,\dfrac{2}{3}$$

(a)  

Perform the operation and fully simplify the answer. $$\frac{3}{4} \cdot \frac{2}{3}$$

(a)  

Perform the operation and fully reduce the answer. Make sure to express your answer as a simplified fraction. $$-\frac{3}{10} \cdot -2$$

(a)  

Evaluate the expression below and write your answer as a fraction or mixed number in simplest form. $$6\,\frac{3}{10} \times \frac{2}{3}$$

(a)  

Evaluate the expression below and write your answer as a fraction or mixed number in simplest form. $$3\,\frac{3}{5} \times -1\,\frac{1}{2}$$

(a)  

Perform the operation and fully simplify the answer: $$\frac{9}{5} \div \frac{10}{9}$$

(a)  

Perform the operation and fully reduce the answer. Make sure to express your answer as a simplified fraction. $$-\frac{3}{5} \div \frac{2}{5}$$

(a)  

Evaluate the expression below and write your answer as a fraction or mixed number in simplest form. $$-6\,\frac{4}{5} \div \frac{4}{5}$$

(a)  

Evaluate the expression below and write your answer as a fraction or mixed number in simplest form. $$\left(\frac{5}{6}+\frac{1}{4}\right)\cdot\frac{1}{2}$$

(a)  

Evaluate the expression below and write your answer as a fraction or mixed number in simplest form. $$-\frac{3}{2}\cdot\left(\frac{7}{12}-\frac{7}{8}\right)$$

(a)  

Evaluate the expression below and write your answer as a fraction or mixed number in simplest form. $$\left(\frac{7}{9}-\frac{5}{6}\right)\div\frac{1}{12}$$

(a)  

Evaluate the expression below and write your answer as a fraction or mixed number in simplest form. $$\frac{5}{2}\div\frac{7}{3}+\frac{1}{4}$$

(a)  

There are 4 guests at Sophia’s party. If each guest will be served exactly $$\frac{4}{5}$$ pint of ice cream, how many pints of ice cream will she need? Express your answer as a fraction or mixed number in simplest form.

(a)  

Hailey is throwing a pizza party. She has $$2\,\frac{1}{5}$$ pounds of cheese available, and she needs $$\frac{1}{5}$$ pound of cheese to make each pizza. How many pizzas can she make?

(a)  

What is the value of the expression $$7x^2 + x - 6$$ when $$x = 2$$ ?

(a)  

Combine like terms: $$2 - 4y - 6x^2 - x^2 + y + 7x^2 - 2$$

(a)  

Brandon just accepted a job at a new company where he will earn an annual salary of $$49000$$ . Brandon was told that for each year he stays with the company, he will receive a salary raise of $$1500$$ . How much will Brandon earn as a salary after 5 years of working for the company?

(a)  

Brandon just accepted a job at a new company where he will earn an annual salary of $$49000$$ . He was told that for each year he stays with the company, he will receive a salary raise of $$1500$$ . What will his salary be after $$t$$ years?

(a)  

At the movies, tickets cost $13.50 for adults and $7 for kids under 12. What would be the total cost for 8 adult tickets and 16 kids tickets?

(a)  

At the movies, tickets cost for adults and for kids under 12. What would be the total cost for adult tickets and kids tickets?

(a)  

Write an equivalent expression by distributing the “−” sign outside the parentheses: $$-( -2k - 3.6m - 5 )$$

(a)  

Find an expression that represents the sum of $$(8x - 6)$$ and $$(2x + 5)$$ in simplest terms.

(a)  

Rewrite in simplest terms: $$(3x - 8) - (9x + 9)$$

(a)  

Use the distributive property to write an equivalent expression: $$4(2x + 5y - 10)$$

(a)  

Rewrite in simplest terms: $$-7(8r + 3r + 5) - 7r$$

(a)  

Simplify the expression. Write your answer using integers or improper fractions. $$-2w + \frac{3}{2}\left(\frac{3}{2}w - 3\right)$$

(a)  

Rewrite in simplest terms: $$-0.4(10c + 7d) + 10d - 0.3(d - 4c)$$

(a)  

Use multiplication to fully expand the expression below: $$abc^6$$

(a)  

Simplify to a single power of 2: $$2^2 \times 2^5$$

(a)  

Simplify: $$d^3 \cdot d^6$$

(a)  

Fully simplify. $$-10x^3y^2(9x)$$

(a)  

Simplify to a single power of 4: $$\frac{4^7}{4^6}$$

(a)  

Fully simplify using only positive exponents. $$\frac{30xy^7}{20x^8y^7}$$

(a)  

Fully simplify using only positive exponents. $$\frac{125x^3y^6}{xy^4}$$

(a)  

What is the greatest common factor of 44, 40, and 20?

(a)  

Factor the expression completely: $$32 + 40x$$

(a)  

Factor the expression completely: $$4x - x^2$$

(a)  

Factor the expression completely: $$x^3y^5 + x^5y^5$$

(a)  

Factor the expression completely: $$-9x^3 + 72x^5$$

(a)  

Factor the expression completely: $$-3x^3 - x$$

(a)  

Factor the expression completely: $$21x^2 + 70x^4$$

(a)  

Factor the expression completely: $$-12x^3 + 32x^4$$

(a)  

Solve for r: $$3 = r - 9$$

(a)  

Find the value of x in the equation below: $$x - 4.3 = 17.3$$

(a)  

Solve for n: $$8n = -24$$

(a)  

Solve for u. Write your answer in fully simplified form: $$2u = -9$$

(a)  

Find the value of x in the equation below: $$5.8 = \dfrac{x}{4}$$

(a)  

Solve for t and simplify your answer: $$16 = \dfrac{2}{3}t$$

(a)  

Solve for x: $$5 = \dfrac{x}{-10}$$

(a)  

Solve for a: $$79 = 5a + 9$$

(a)  

Solve for c: $$-14 = -21 + \dfrac{c}{11}$$

(a)  

Solve for y: $$0.58 = -1.1y - 0.3$$

(a)  

Solve for c: $$41 = 13 + \dfrac{2}{7}c$$

(a)  

Solve for a. Express your answer as a proper or improper fraction in simplest terms: $$-\dfrac{1}{4} - \dfrac{5}{7}a = \dfrac{3}{4}$$

(a)  

Solve for x: $$8x + 6 = 9x - 1$$

(a)  

Solve for x: $$-2(-3x - 5) - 2x + 5 = -1$$

(a)  

Solve for x: $$6 = 3(-3x - 5) + 3$$

(a)  

Solve for x: $$-(-5x - 4) = -3x - (2x - 9)$$

(a)  

The sum of three consecutive even integers is 36. Find the greatest of the three.

(a)  

The length and width of a rectangle are consecutive odd integers. The perimeter of the rectangle is 80 meters. Find the length and width of the rectangle.

Qasim is the youngest of four siblings, whose ages are consecutive integers. If the sum of their ages is 62, find Qasim's age.

(a)  

The lengths of the four sides of a quadrilateral (in centimeters) are consecutive integers. If the perimeter is 62 centimeters, find the value of the longest side.

(a)  

Deondra is older than Arturo. Their ages are consecutive odd integers. Find Deondra's age if the sum of Deondra's age and four times Arturo's age is 57.

(a)  

Solve for x: $$\dfrac{3x - 3}{40} + \dfrac{2x - 3}{8} = -5$$

(a)  

Solve the following equation for x. Express your answer in the simplest form. If there are infinite solutions, state "infinite solutions"; if there are no solutions, state "no solutions": $$-4x - 7(-4x + 9) = 8(3x - 9) + 10$$

(a)  

Solve the following equation for x. Express your answer in the simplest form. If there are infinite solutions, state "infinite solutions" and if there are no solutions, state "no solutions": $$6x + x + 5 = -x - (-8x - 5)$$

(a)  

Solve for x and graph the solution on the number line below: $$x - 6 \ge 6$$

(a)  

Solve for x and graph the solution on the number line below: $$8x \ge 40$$

(a)  

Solve for x and graph the solution on the number line below: $$-4 \geq 2x$$

(a)  

Solve for x and graph the solution on the number line below: $$-48 \leq -6x$$

Solve the inequality and graph the solution on the line provided: $$6x + 13 \leq 43$$

Solve the inequality and graph the solution on the line provided: $$13 + 7x > 6$$

Solve the inequality and graph the solution on the line provided: $$-3 + 5x \leq -38$$

Solve the inequality and graph the solution on the line provided: $$-33 - 6x \leq -39$$

Solve the following inequality for s. Write your answer in simplest form:

Solve the following inequality for d. Write your answer in simplest form: $$d + 9 < 2d - 6$$

Solve the following inequality for f. Write your answer in simplest form: $$-9f - 2(8f + 3) \ge 10f + 4 - 2$$

Solve the following inequality for r. Write your answer in simplest form: $$-2r - 2(-4r + 10) \leq 4r - 9 - 6r$$

Solve the following inequality: $$-4 \ge \dfrac{5}{2} - (-7x + 1)$$

Solve the following inequality: $$\dfrac{4}{5}(x - 1) + 6 \leq 2x + 1$$

Under his cell phone plan, Arturo pays a flat cost of $37 per month and $4 per gigabyte. He wants to keep his bill under $45 per month. Write and solve an inequality which can be used to determine x, the number of gigabytes Arturo can use while staying within his budget.

A rental car company charges $$33.50$$ per day to rent a car and $0.13 for every mile driven. Tariq wants to rent a car, knowing that he plans to drive 100 miles and has at most $80 to spend. Write and solve an inequality that can be used to determine d, the number of days Tariq can afford to rent while staying within his budget.

Katherine has a points card for a movie theater.
• She receives 45 rewards points just for signing up.
• She earns 12.5 points for each visit to the movie theater.
• She needs at least 220 points for a free movie ticket.
Write and solve an inequality that can be used to determine v, the number of visits Katherine can make to earn her first free movie ticket.

A group of friends wants to go to the amusement park. They have no more than $210 to spend on parking and admission. Parking is $14, and tickets cost $35 per person, including tax. Write and solve an inequality which can be used to determine x, the number of people who can go to the amusement park.