Podcast
Questions and Answers
Write the following as an algebraic expression: the product of five and a number less than two
Write the following as an algebraic expression: the product of five and a number less than two
5(x - 2)
Simplify: 24 ÷ 2 * 4 + 33
Simplify: 24 ÷ 2 * 4 + 33
51
Simplify b² - 4ac if a = 2, b = -4, c = 3
Simplify b² - 4ac if a = 2, b = -4, c = 3
40
Simplify: 11 – 2(-3x + 4) + 2(-4x - 5)
Simplify: 11 – 2(-3x + 4) + 2(-4x - 5)
Signup and view all the answers
Evaluate each of the following given: f(x) = 3x + 5 and g(x) = x² – 5 a) f(3) b) g(-2)
Evaluate each of the following given: f(x) = 3x + 5 and g(x) = x² – 5 a) f(3) b) g(-2)
Signup and view all the answers
Determine if the following relation is a function: {(-2,7), (6,7), (0,9), (5, -2)}. Yes or No and tell why.
Determine if the following relation is a function: {(-2,7), (6,7), (0,9), (5, -2)}. Yes or No and tell why.
Signup and view all the answers
Solve: 2x + 3 = 27
Solve: 2x + 3 = 27
Signup and view all the answers
Solve: 6(3x + 1) – 30 = 3(2x - 4)
Solve: 6(3x + 1) – 30 = 3(2x - 4)
Signup and view all the answers
Solve: |2x – 4| = 8
Solve: |2x – 4| = 8
Signup and view all the answers
Water was leaking from a faucet at a rate of 1.5 gal every 5 minutes. If it took 22 min to stop the leak, how much water was wasted?
Water was leaking from a faucet at a rate of 1.5 gal every 5 minutes. If it took 22 min to stop the leak, how much water was wasted?
Signup and view all the answers
Write an absolute value equation for the graph shown below:
Write an absolute value equation for the graph shown below:
Signup and view all the answers
Find the perimeter of the square shown.
Find the perimeter of the square shown.
Signup and view all the answers
You bought a shirt for $36.99 what will the total cost be if the store offers a 30% discount with a 6% tax?
You bought a shirt for $36.99 what will the total cost be if the store offers a 30% discount with a 6% tax?
Signup and view all the answers
You go to dinner and the meal you ordered is $15.99. They add a 6% tax to your bill. How much is the bill BEFORE tip?
You go to dinner and the meal you ordered is $15.99. They add a 6% tax to your bill. How much is the bill BEFORE tip?
Signup and view all the answers
A game was $75 and is now $60. Find the percent change of the game.
A game was $75 and is now $60. Find the percent change of the game.
Signup and view all the answers
Find three consecutive ODD integers that have a sum of 111.
Find three consecutive ODD integers that have a sum of 111.
Signup and view all the answers
Find the value of r given: (r, 7), (10, 8); m = -1/5
Find the value of r given: (r, 7), (10, 8); m = -1/5
Signup and view all the answers
Given the sequence: 2, 5, 8,... a) Find the NEXT THREE terms: b) Use the formula: an = a1 + d(n − 1) to find a121.
Given the sequence: 2, 5, 8,... a) Find the NEXT THREE terms: b) Use the formula: an = a1 + d(n − 1) to find a121.
Signup and view all the answers
Suppose y varies directly as x. If y = 3 when x = 6. Find y when x = 10.
Suppose y varies directly as x. If y = 3 when x = 6. Find y when x = 10.
Signup and view all the answers
Write an equation of a line with m = -3 that passes through the point (-2, 6).
Write an equation of a line with m = -3 that passes through the point (-2, 6).
Signup and view all the answers
Write an equation of a line that passes through (-2, 2) and (4, 8)
Write an equation of a line that passes through (-2, 2) and (4, 8)
Signup and view all the answers
From 2005 to 2017, the number of airports in the United States increased at a constant rate of 150 airports per year. In 2010 there were 20,245 airports in the United States. Write an equation of the line that gives the number of airports as a function of time since 2005 (Hint: let x = 0 be 2005).
From 2005 to 2017, the number of airports in the United States increased at a constant rate of 150 airports per year. In 2010 there were 20,245 airports in the United States. Write an equation of the line that gives the number of airports as a function of time since 2005 (Hint: let x = 0 be 2005).
Signup and view all the answers
Write an equation of a line that is parallel to 3x + 4y = -8 and passes through the point (-4, 6)
Write an equation of a line that is parallel to 3x + 4y = -8 and passes through the point (-4, 6)
Signup and view all the answers
Find the inverse of f(x) = -2x + 8
Find the inverse of f(x) = -2x + 8
Signup and view all the answers
The graph shows 4 lines A, B, C, D. Write these lines in order from least to greatest according to their slope.
The graph shows 4 lines A, B, C, D. Write these lines in order from least to greatest according to their slope.
Signup and view all the answers
Solve if possible: -2x + 4 < 8
Solve if possible: -2x + 4 < 8
Signup and view all the answers
Solve if possible: 4x + 15 < 3 and x – 5 > -3
Solve if possible: 4x + 15 < 3 and x – 5 > -3
Signup and view all the answers
Solve if possible: |4x – 2| < 4
Solve if possible: |4x – 2| < 4
Signup and view all the answers
Use desmos to graph the following system and identify their point of intersection: -3x + 2y = -2 3x + 3y = 12
Use desmos to graph the following system and identify their point of intersection: -3x + 2y = -2 3x + 3y = 12
Signup and view all the answers
Study Notes
Algebra 1 - Midterm Exam Review
- Algebraic Expressions: Find the product of five and a number less than two. This is written as 5(x-2), where 'x' represents the unknown number.
- Simplifying Expressions: 24 ÷ 2 * 4 + 3 = 12 * 4 + 3 = 48 + 3 = 51. 11 – 2(-3x + 4) + 2(-4x - 5) = 11 + 6x - 8 - 8x - 10 = -6x - 7
- Simplifying Expressions: If a = 2, b = -4, c = 3, b² - 4ac equals (-4)² - 4 * 2 * 3 = 16 - 24 = -8
- Evaluating Functions:
- Given f(x) = 3x + 5 and g(x) = x² - 5, f(3) = 3(3) + 5 = 14, and g(-2) = (-2)² - 5 = 4 - 5 = -1
- Relations and Functions:
- Determine if the set {(-2,7), (6,7), (0,9), (5, -2)} is a function. Yes, it's a function as each input has only one output
- Linear Equations:
- Solve for x: 2x + 3 = 27... x=12
- Solve for x: 10. Solve: 6(3x + 1) – 30 = 3(2x - 4)... x=4
- Solve for x: |2x - 4| = 8... x=6 or x=-2
- Graphing: Sketch a graph of your hair length during a year. (Note: This is an open-ended question.)
- Absolute Value Equations: Write an absolute value equation based on a provided graph, shown.
- Perimeter Problems: Find the perimeter of a square, with side lengths given as (x + 6) & (2x + 2).
- Discounts and Taxes: Determine the total cost of an item including a discount (30%) and 6% tax. Example for a $36.99 item: Calculate the 30% discount: $36.99 * 0.30 = $11.097 Subtracted from the original total $36.99 - $11.097 = $25.893. Calculating the 6% tax on this new total: 25.893 * 0.06 = $1.55358 Add this to the discounted price $25.893 + 1.554 = $27.447
- Percent Change: Calculate the percent change of a game from $75 to $60
- Consecutive Integers: Find three consecutive odd integers whose sum is 111: 35, 37, 39
- Direct Variation: If y varies directly as x, and y = 3 when x = 6, find y when x = 10.
- Linear Equations: Find the equation of a line with slope (-3) that passes through point (-2, 6).
- Linear Equations: Find the equation (of a line) passing through (-2, 2) and (4, 8).
- Inverse functions: Find the inverse function of f(x) = -2x + 8. f⁻¹(x) = (x - 8)/-2
- Linear Inequalities: Solve -2x + 4 < 8 if possible
- Absolute Value Inequalities: Solve |4x - 2| < 4 if possible;
Additional Topics
-
Linear System Intersection: Use desmos or other graphing tool to find the x, y point that intersects the system of equations (given -3x + 2y = -2, 3x + 3y = 12).
-
Parallel Lines: Find the equation of a line that is parallel to 3x + 4y = -8 and that goes through (-4, 6).
-
Ordering Slopes: Order the slopes of lines A, B, C, and D from least to greatest using the graph provided.
-
Linear Inequalities: Solve 4x + 15 < 3 and x - 5 > -3.
-
(Sequence Problems) Identify the next three terms of a sequence, like 2, 5, 8,... and find the 12th term.
-
(Water Leak) Calculate how much water was wasted from a faucet if it leaked 1.5 gallons every 5 minutes, and the leak lasted 22 minutes.
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
Related Documents
Description
Prepare for your Algebra 1 midterm exam with this comprehensive review quiz. It covers algebraic expressions, simplifying equations, evaluating functions, and solving linear equations. Test your understanding and get ready to ace your exam!
