Algebra 1 Semester 1 Final Exam Flashcards

Questions and Answers

What happens to the inequality sign if you multiply or divide by a negative number?

Flip the inequality symbol

Which part of the inequality sign determines when you have a closed circle on a graph?

The line under the symbol (equal to line)

Domain is the _ value of an ordered pair, which is also known as the ___ value.

x, independent

Range is the value of an ordered pair, which is also known as the _ value.

y, dependent Signup and view all the answers

What is the formula to find the slope of a line?

m = (y2 - y1) / (x2 - x1) Signup and view all the answers

Write the equation of the point-slope form of a line.

y - y1 = m(x - x1) Signup and view all the answers

Write the equation of the slope-intercept form of a line.

y = mx + b Signup and view all the answers

Write the equation of the standard form of a line.

Ax + By = C Signup and view all the answers

What is the solution to the equation z + 4 = -3?

-7 Signup and view all the answers

What is the solution to the equation y/4 = -6?

-24 Signup and view all the answers

What is the solution to the equation -5x = -35?

7 Signup and view all the answers

What is the solution to the equation (w - 3) / -4 = 2?

-5 Signup and view all the answers

What is the solution to the equation -18 = 9 - 3v?

9 Signup and view all the answers

What is the solution to the equation u / -3 + 6 = 14?

-24 Signup and view all the answers

What is the solution to the equation 4t - 7 + 2 = -29?

-6 Signup and view all the answers

What is the solution to the equation -5s - 9 + 8s = 36?

15 Signup and view all the answers

What is the solution to the equation 1 + 6r - 3 = 22?

4 Signup and view all the answers

What is the solution to the equation 2(-q + 4) = -18?

13 Signup and view all the answers

What is the solution to the equation 3(p - 1) + 2p = 7?

2 Signup and view all the answers

What is the solution to the equation 1 - 3(3n + 1) = 25?

-3 Signup and view all the answers

What is the solution to the equation 4m + 3 = 3m + 10?

7 Signup and view all the answers

What is the solution to the equation 9l - 2 = 6l - 19?

-17/3 Signup and view all the answers

After playing $5.50 for a salad at McDonald's, Ariel has $27.70. How much money did she have before buying the salad?

33.20 Signup and view all the answers

Buffalo Wild Wings charges $8.00 for 16 boneless wings on Thursday nights. Each dipping sauce costs an additional $0.75. Wesley paid $10.25 for his wings and dipping sauces. How many dipping sauces did he order?

3 Signup and view all the answers

Rewrite the equation in slope-intercept form: 5x + 9y = 30.

y = -5/9 x + 10/3 Signup and view all the answers

Graph the inequality -2 > z.

Open circle at -2 and shaded to the left Signup and view all the answers

Write the inequality of the graph that has a closed circle at 1 and is shaded to the left.

x ≤ 1 Signup and view all the answers

What is the expression for 5v + 6 - 3v?

2v + 6 Signup and view all the answers

Study Notes

Inequalities

Multiplying or dividing an inequality by a negative number necessitates flipping the inequality symbol.
Closed circles on graphs indicate the inclusion of the endpoint, represented by having a line under the inequality symbol.

Functions and Graphing

The domain of an ordered pair refers to the 'x' value, known as the independent value.
The range of an ordered pair refers to the 'y' value, known as the dependent value.

Slope and Line Equations

Slope formula: ( m = \frac{y_2 - y_1}{x_2 - x_1} ).
Point-slope form: ( y - y_1 = m(x - x_1) ).
Slope-intercept form: ( y = mx + b ).
Standard form: ( Ax + By = C ).

Solving Equations

Solutions to various equations include:
- ( z + 4 = -3 ) results in ( z = -7 ).
- ( \frac{y}{4} = -6 ) leads to ( y = -24 ).
- ( -5x = -35 ) gives ( x = 7 ).
- ( (w - 3) / -4 = 2 ) results in ( w = -5 ).
- ( -18 = 9 - 3v ) leads to ( v = 9 ).
- ( u / -3 + 6 = 14 ) results in ( u = -24 ).
- ( 4t - 7 + 2 = -29 ) gives ( t = -6 ).
- ( -5s - 9 + 8s = 36 ) results in ( s = 15 ).
- ( 1 + 6r - 3 = 22 ) leads to ( r = 4 ).
- ( 2(-q + 4) = -18 ) gives ( q = 13 ).
- ( 3(p - 1) + 2p = 7 ) results in ( p = 2 ).
- ( 1 - 3(3n + 1) = 25 ) leads to ( n = -3 ).
- ( 4m + 3 = 3m + 10 ) results in ( m = 7 ).
- ( 9l - 2 = 6l - 19 ) leads to ( l = -\frac{17}{3} ).

Word Problems

Ariel spent $5.50 on a salad and had $27.70 left, indicating she started with $33.20.
Wesley spent $10.25 on wings and sauces at Buffalo Wild Wings; he ordered 3 dipping sauces, given the base cost of wings and additional sauce charges.

Graphing Inequalities

The inequality ( -2 > z ) is represented with an open circle at -2 and shading to the left.
A closed circle at 1 shaded to the left is represented by the inequality ( x < 1 ).

Additional Equations

The equation ( 5v + 6 - 3v ) simplifies to ( 2v + 6 ), highlighting the process of simplifying algebraic expressions.

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Test your knowledge on key Algebra 1 concepts with these flashcards. From understanding inequalities to domains, this quiz covers essential terms and definitions. Perfect for reviewing before your semester final exam!