Algebra Unit 0 & 1 Semester 1 Exam Review Solving Equations and Inequalities

m=C/(2n)

For the formula 𝐶 = 2𝑚𝑛 solve for 𝑚.

2m + m =24 or 3m=24

Katie is twice as old as her sister Mara. The sum of their ages is 24.Write a one-variable equation to represent the situation.

2p + 40≥90

Mr. Discrete told his students if everyone in the class did at least 35 of the 40 homework assignments for 2nd 9 weeks he would add 4% to their final test. If he determines their score by doubling the number of correct problems out of 50 and then adding the bonus which inequality would determine the fewest problems a student could answer correctly and still have an A(90%)?

11x -13y + 44

Simplify the expression

r=48

The formula for Ohm's Law is E = IR, where E represents voltage measured in volts, I represents current measured in amperes, and R represents resistance measured in ohms. Suppose a current of 0.25 ampere flows through a resistor connected to a 12-volt battery. What is the resistance in the circuit?

A

What is the graph of the solution to the inequality 3x -10≤5x -12?

C

Which is the graph of the solution to the inequality -4x+8>12?

2x + 12=20

Write an equation for: Two pounds of nuts which cost x dollars a pound, and four pounds of chocolates which cost $3 a pound costs $20.

2(x - 4)

Write an expression for Twice the difference of a number and four.

x=2

solve

Sometimes,

Identify the statement as always, sometimes, or never true. Give an example or counterexample to support your answer. The product of two irrational numbers is irrational.

Sometimes,

Identify the statement as always, sometimes, or never true. Give an example or counterexample to support your answer. The sum of two irrational numbers is irrational.

all real numbers

Solve

no solution

Solve

x = 9

Solve

x=14

Solve

all real numbers, because you get y<3 or y≥-4 the entire number line is shaded

Solve and graph the inequality

x=P/(3yz)

Solve for x: 3xyz=P

x=2y - ½ OR x= (4y - 1)/ 2

Solve the equation for x, in terms of y 2 + 2x - 1 = 4y

Original Equation Addition Property of Equality Commutative Property of Addition Simplify/Combine Like Terms Division Property of Equality Simplify

solve and identify the properties used for each step

Always,

Identify the statement as always, sometimes, or never true. Give an example or counterexample to support your answer. The product of a nonzero rational and an irrational number is irrational.

Always,

Identify the statement as always, sometimes, or never true. Give an example or counterexample to support your answer. The sum of a rational and an irrational number is irrational.

Always,

Identify the statement as always, sometimes, or never true. Give an example or counterexample to support your answer. The sum of two rational numbers is rational.

If s= 40.02 and s represents songs, you can buy up to 40 songs to stay within the budget.

Music Magic offers live streaming for $9.99 a month, with downloads at $0.50 a song. You have $30 a month budgeted for this service. The equation 0.5s + 9.99 = 30 describes the situation. The solution to this equation is s = 40.02. Explain what this means in terms of service.

16(5x - 1)

Samuel and Joyce both bought CDs. Samuel bought 3x CDs and Joyce bought 2x-1 CDs. If each CD had a regular price of $18 and a discount of $2, then which expression would show the cost for all of their CDs?

x=(10 - 2A - 3b)/4 OR x= 5/2 - A/2 - (3b)/4

Solve the equation for x, in terms of y 2A + 4x + 3b = 10

x=(y+3)/2

Solve the equation for x, in terms of y 2x - 3 = y

C

Solve the inequality

x≤-11

Solve the inequality

x≥-21

Solve the inequality

-2≤x≤1 graph has closed circle on -2, closed circle on 1, shaded in between

Solve the inequality and graph the solution set: -2 ≤ 3x + 4 ≤ 7

0.5x + 0.75y ≥ 200 where x represents bags of chips and y represents cans of soda

The math team is selling snacks after school to raise money. If chips are $0.50 a bag and sodas are $0.75 a can, write an inequality with two variables to show combinations of chips and soda sales that would be at least $200.

2H=J+1

Write an expression: Twice her salary is the same as John's salary plus $1.

5x +4 > 20

Write an inequality for the statement: Four more than the product of five and x is greater than twenty.

Original Equation Subtraction Property of Equality Commutative Property of Addition Simplify/Combine Like Terms Multiplication Property of Equality Simplify

solve and identify the properties used for each step