Algebra 1 EOC Flashcards

Questions and Answers

Which of the following represents the situation where George gets paid $20 a day plus $0.05 for every flyer he distributes, wanting to earn at least $65 each day?

20 + 0.05x < 65

20 + 0.05x ≥ 65 (correct)

20 + 0.05x = 65

20 + 0.05x > 65

Which graph represents the solutions of p + 1 < -1 or p - 5 > 7?

Starting point 0 is 0 points to 6 and starting point 0 is 10 points to 14

Starting point 0 is 1 point to 5 and starting point 0 is 0 points to 10

Starting point 0 is 8 points to 14 and starting point 0 is -1 points to -3

Starting point 0 is -2 points to -6 and starting point 0 is 12 points to 16 (correct)

For what amount of sales s is the salary at XYZ Company greater than the salary at ABC Company, given their respective offers?

s = 45,000

s < 50,000

s > 70,000 (correct)

s ≤ 70,000

What is the solution to the equation 4/s = -2/9?

-18 Signup and view all the answers

What grades can Paula get on the second test to maintain an average of 80 or more, given she scored 72 on her first test?

At least 88 Signup and view all the answers

What is the equation of the line shown in the graph given the point (1.75, -5)?

y = 3x - 5 Signup and view all the answers

What is the solution to the inequality m - 8 ≤ 14?

m ≤ 22 Signup and view all the answers

Graph the line with the slope of 1/2 and y-intercept of 3. What intercepts do you find?

Crosses x at -6, crosses y at 3 Signup and view all the answers

Which of the following relations is a function?

{(1,0),(-1,0),(2,1),(-2,1),(3,2),(-3,2)} Signup and view all the answers

What is the simplified expression for (a cubed b) squared?

a to the sixth b squared Signup and view all the answers

What is the simplified expression for the square root of 48/147?

4/7 Signup and view all the answers

What is the formula for the resistance of a conductor with voltage V and current I, solved for V?

V = Ir Signup and view all the answers

Which system of equations has no solution?

{y = x + 4, y - x = -4} Signup and view all the answers

What is the missing value in the Venn diagram from the survey of 30 people regarding shirt colors?

7 Signup and view all the answers

What is the distance between Kensington and Greenwich according to the map?

20 square root 5 mi Signup and view all the answers

What is the commission earned on a sale of $4450 by a sales clerk earning a 3% commission?

$133.50 Signup and view all the answers

Given f(x) = x squared + 1 with domain {-2,-1,0,1,3}, what is the range R?

R: {5, 2, 1, 2, 10} Signup and view all the answers

Solve the equation y + w - (3/4)z = 0 for z.

z = (4/3)(y + w) Signup and view all the answers

What is Gloria's normal hourly pay if she earns $489.85 for working 47 hours and earns 1.5 times her normal pay for the hours over 40?

$9.70 Signup and view all the answers

Tell whether the slope of the line is positive, negative, zero, or ______. (Line is parallel to y-axis on 2 of the x-axis).

undefined Signup and view all the answers

Study Notes

George's Earnings Scenario

George's earning equation: ( 20 + 0.05x \geq 65 ), where ( x ) is the number of flyers distributed.
Goal: Earn at least $65 daily.

Inequality Graphing

For ( p + 1 < -1 ) or ( p - 5 > 7 ):
- Starting point for ( p + 1 < -1 ) corresponds to -2 and goes to -6.
- Starting point for ( p - 5 > 7 ) corresponds to 12 and goes to 16.

Salary Comparison

ABC Company offers a salary of $45,000.
XYZ Company offers $38,000 + 2% commission.
Condition for sales ( s ): ( s > 70,000 ) for XYZ's salary to exceed ABC's.

Solving Equations

From ( \frac{4}{s} = \frac{-2}{9} ), solved to get ( s = -18 ).

Average Test Scores

Paula needs an average of 80 for a B in class.
Scored 72 on the first test; requires at least 88 on the second test.

Equation of a Line

The line passes through the point (1.75, -5).
Equation of the line: ( y = 3x - 5 ).

Inequality Solution

Solving ( m - 8 \leq 14 ) yields ( m \leq 2 ).

Graphing Lines

A line with slope ( \frac{1}{2} ) and y-intercept of 3 crosses x-axis at negative value and y-axis at 3.

Identifying Functions

The relation ( {(1,0), (-1,0), (2,1), (-2,1), (3,2), (-3,2)} ) qualifies as a function (each input has one output).

Simplifying Expressions

Simplifying ( (a^3b)^2 ) gives ( a^6b^2 ).
Simplifying ( \sqrt{\frac{48}{147}} ) results in ( \frac{4}{7} ).

Resistance Formula

For the formula ( r = \frac{V}{I} ), solving for ( V ) gives ( V = Ir ).

Systems of Equations

The system ( {y = x + 4, y - x = -4} ) has no solution (parallel lines).

Survey Results

In a survey of 30 people regarding shirt colors, the missing value in the Venn diagram is 7.

Distance Measurement

The distance between Kensington and Greenwich is ( 20\sqrt{5} ) miles.

Commission Calculation

A 3% commission on a $4450 sale results in $133.50.

Function Range

For ( f(x) = x^2 + 1 ) with the domain of {-2, -1, 0, 1, 3}, the range ( R ) is {1, 2, 5, 10}.

Solving for z

Rearranging ( y + w - \frac{3}{4}z = 0 ) leads to ( z = \frac{4}{3}(y + w) ).

Hourly Pay Calculation

Gloria worked 47 hours, earning $489.85 with a normal hourly rate of ( p ).
The equation ( 40p + 7(1.5p) = 489.85 ) results in ( p = 9.70 ).

Slope Determination

The slope of a line that is parallel to the y-axis is undefined.

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Test your understanding of key algebra concepts with these flashcards focused on real-world applications. Each card presents a scenario or problem that you must solve or analyze. Perfect for preparing for the EOC exam!