Algebruh

Tucker lost fewer than 9 points. Which inequality represents the situation?

p < 9

Addie saved more than $36. Which inequality represents the amount that she saved?

s > 36

Solve 6 + 2x > 30 using One Variable Inequalities

x > 12

Solve 3(x - 1) ≥ -9 using One Variable Inequalities

x ≥ -2

Solve -3x + 1 ≤ 13 using One Variable Inequalities

x ≥ -4

Solve 2(x-5)=5x+23 using Multi-step Equations

x=-11

Solve 14x+5=9x-5 using Multi-step Equations

x=-2

Solve 7x+3=2x+13 using Multi-step Equations

x=2

Solve the algebraic expression x^2(x-2)+5

x^3-2x^2+5

Homer sells tickets for admission to your school play and collects a total of $104. Admission prices are $6 for adults and $4 for children. He sold 21 tickets total. Solve the system:

(10,11)

Solve y = 3x - 8 using Systems of Equations y = 4 - x

(3,1)

Diego is running a concession stand at a soccer game. He sells nachos and sodas. Nachos cost $1.50 each and sodas cost $0.50 each. At the end of the game, Diego made a total of $78.50 and sold a total of 87 nachos and sodas combined. Which system of equations represents this situation?

(35, 52)

Find the vertex of f(x) = -x2 - 4x + 12.

(-2, 16)

Determine the vertex of y = 4x2 +5

(0,5)

Find the vertex of the quadratic:y = -2x2 + 4x + 3

(1, 5)

Solve y = 2x + 1 using Systems of Equations y = 4x - 1

(1,3)

Solve the algebraic expression x^2(x-4)+3

(x-1)(x^2-3x-3)

Subtract 5x2 + 2x - 11 from 3x2 + 8x - 7. Express the result as a trinomial.

-2x^2+6x+4

Solve x-2y=1 using Systems of Equations x+4y=7

1

Diego is running a concession stand at a soccer game. He sells nachos (x) and sodas (y). Nachos cost $1.50 each and sodas cost $0.50 each. At the endterm-42 of the game, Diego made a total of $78.50 and sold a total of 87 nachos and sodas combined. Which system of equations represents this situation?

1.5x + 0.5y = 78.5 x + y = 87

Daniel bought 2 burgers for $3.50 each and 3 medium French fries for $1.20 each. Write a numerical expression to represent this situation and then find the cost.

10.60 Dollars

Solve (4xy^3)(3x^3y^5)(9x^-4y) using Multiplying Monomials

108y^9

Solve 2^3 - 8 ÷ 4 × 2 + 7 by using Order of Operations

11

An object in launched directly upward at 64 feet per second (ft/s) from a platform 80 feet high. Its height is represented by the equation H(t) = -16t2 + 64t + 80. What will be the object's maximum height?

144 ft

Jack had 4 apples he found 6 more apples, then his brother took half of his apples. The next day his friend Dodge gave him 3 times the amount of apples Jack had. How many apples does jack have now?

15 Apples

Solve 3 + 5 × 6 ÷ (8 - 6) by using Order of Operations

18

JD and Nolan collect baseball cards, JD has 5 more than 3 times as many cards as Nolan. The total number of cards they both have is 253. How many cards does JD have?

191

Diego bought 4 bananas for 50 cents each and 1 apple for 80 cents. Write a numerical expression to represent this situation and then find the total cost in dollar.

2.80 Dollars

Express the product of 2x^2 + 7x - 10 and x + 5 in standard form.

2x^3 +17x^2 +25x -50

At the carnival, Marsha bought 10 ride tickets and 3 snacks. Each ride ticket costs $1.50 less than a snack. Marsha spent a total of $24.00. Write and solve an equation to find the cost of each snack.

3 Dollars

Pristine House Cleaners charges $19.85 plus $32 a room. Sparkle House Cleaners charges $61.85 plus $18 a room. Write and solve an equation to find the number of rooms for which the total cost of both house cleaners is the same.

3 Houses

Solve the algebraic expression x^2(3x-3)-3

3(x^3-x^2-1)

The difference between two numbers is 7. Find the two numbers if the larger number is three times the smaller.

3.5

Solve (3x^2)(10x^7) using Multiplying Monomials

30x^9

If a toy rocket is launched vertically upward from ground level with an initial velocity of 128 feet per second, then its height h after t seconds is given by the equation h(t) = -16t2 +128t (if air resistance is neglected). When will the object reach its maximum height?

4 Seconds

Solve 9/3 + 2(9 + 10) - 8 + 4 × 3 by using Order of Operation

45

Simplify 2b − 6 and 2b + 6 using foil method

4b^2 − 36

Solve (4x + 3)(x + 2) using Foil method

4x^2 + 11x + 6

Express the product of 5x+2 and x^2-3x+6 in Standard form.

5x^3 - 13x^2 + 24x +12

The function f(t) = -5t2+20t + 60 models the approximate height of an object t seconds after it is launched. How many seconds does it take the object to hit the ground?

6 Seconds

Solve (2x + 3)(3x + 4) using Foil method

6x^2 + 17x + 12

Solve (3x + 1)(2x + 5) using Foil method

6x^2 + 17x + 5

Solve 3x^3(2x^2 + 9x + 6) using Multiplying Monomials

6x^5 + 27x^4 + 18x^3

Greg is saving to buy a tablet that costs $235. He already has $25. Each week, Greg earns $15 babysitting and $25 as a cashier, but he spends $10 on lunches. Write and solve an equation to find how many weeks Greg will have enough money saved.

7 Weeks

William makes $8 an hour. How many hours must he work to earn at least $280?

8h ≥ 280

Writing Algebraic Expressions

An expression built up from integer constants, variables, and the algebraic operations

Kevin's age is 3 years more than twice Henry's age. The sum of their ages is 39. How old is Kevin and Henry?

Henry = 12 Kevin = 27

Multiplying Monomials

Multiply the coefficients, keep the base and add the exponents.

Graphing Quadratics

The graph of a quadratic function is a parabola, which is a "u"-shaped curve.

Order of Operation

a rule that tells the correct sequence of steps for evaluating a math expression

Systems of Equations

a set of one or more equations involving a number of variables.

Foil method

an efficient way of remembering how to multiply two binomials in a very organized manner.

Multi-step Equations

an equation that requires more than one step to solve

One Variable Inequalities

first change it to an equation (a mathematical sentence with an "=" sign) and then solve