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The temperature on Sunday is 35 °F. On Monday, the temperature is 20°F warmer. Write an expression for the temperature on Monday.
The temperature on Sunday is 35 °F. On Monday, the temperature is 20°F warmer. Write an expression for the temperature on Monday.
35 + 20
A balloon ride is flying 70 meters high from the ground. It drops 10 meters. Write an expression for the balloon's new height.
A balloon ride is flying 70 meters high from the ground. It drops 10 meters. Write an expression for the balloon's new height.
70 - 10
Simplify the expression -2+(-8)
Simplify the expression -2+(-8)
-10
Rose has 5 candies. Daisy has 5 more candies than Rose. How many candies does Daisy have?
Rose has 5 candies. Daisy has 5 more candies than Rose. How many candies does Daisy have?
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Simplify the expression (3 - 2)²
Simplify the expression (3 - 2)²
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Simplify the expression 7(4 + 5)
Simplify the expression 7(4 + 5)
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Simplify the expression 8+12 / 5
Simplify the expression 8+12 / 5
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Simplify the expression (7-9)4+5
Simplify the expression (7-9)4+5
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Simplify the expression 7+24-9
Simplify the expression 7+24-9
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For the expression 4-5/2, describe this expression using math vocabulary and use at least five words.
For the expression 4-5/2, describe this expression using math vocabulary and use at least five words.
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Describe the expression -4-3(7-9)²/12 using math vocabulary and use at least six words.
Describe the expression -4-3(7-9)²/12 using math vocabulary and use at least six words.
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Write an expression that is a sum of three terms. The first term is a positive integer, the second term is a group, and the third term is a power with an exponent of 3.
Write an expression that is a sum of three terms. The first term is a positive integer, the second term is a group, and the third term is a power with an exponent of 3.
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Write an expression that is a quotient with a product in the numerator. The first factor is a negative integer and the second factor is a group. The denominator is a power.
Write an expression that is a quotient with a product in the numerator. The first factor is a negative integer and the second factor is a group. The denominator is a power.
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Plot and label Point A (4, -3) and Point B (-3.5, -5) on the coordinate plane below
Plot and label Point A (4, -3) and Point B (-3.5, -5) on the coordinate plane below
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Write a variable expression for "4 less than twice n".
Write a variable expression for "4 less than twice n".
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Write a variable expression for "three times the difference of m and 4".
Write a variable expression for "three times the difference of m and 4".
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Write a variable expression for "the sum of x¹⁰, all divided by 5".
Write a variable expression for "the sum of x¹⁰, all divided by 5".
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Write a variable expression for "x increased by one-half of k".
Write a variable expression for "x increased by one-half of k".
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In the expression 40h + 20/5, what does 40 represent?
In the expression 40h + 20/5, what does 40 represent?
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In the expression 40h + 20/5, what does 40h + 20 represent?
In the expression 40h + 20/5, what does 40h + 20 represent?
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In the expression 40h + 20/5, what does the entire expression represent?
In the expression 40h + 20/5, what does the entire expression represent?
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What expression represents the total cost to bowl, if it costs $4 to rent bowling shoes and $2 per game to bowl, where g represents the number of games?
What expression represents the total cost to bowl, if it costs $4 to rent bowling shoes and $2 per game to bowl, where g represents the number of games?
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Solve the equation p - 10 = -15. Show all steps.
Solve the equation p - 10 = -15. Show all steps.
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Solve the equation -4 = -n + 4. Show all steps.
Solve the equation -4 = -n + 4. Show all steps.
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Solve the equation -15=h/5. Show all steps.
Solve the equation -15=h/5. Show all steps.
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Solve the equation 5m = -65. Show all steps.
Solve the equation 5m = -65. Show all steps.
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Examine the student work below. Check their solution to determine if there is an error. Explain what is correct and incorrect in each step of their work. Solve the equation on your work and check the new solution. The equation is -5 + x = 10
Examine the student work below. Check their solution to determine if there is an error. Explain what is correct and incorrect in each step of their work. Solve the equation on your work and check the new solution. The equation is -5 + x = 10
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Examine the student work below. Check their solution to determine if there is an error. Explain what is correct and incorrect in each step of their work. Solve the equation on your work and check the new solution. The equation is -7d = 70.
Examine the student work below. Check their solution to determine if there is an error. Explain what is correct and incorrect in each step of their work. Solve the equation on your work and check the new solution. The equation is -7d = 70.
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Is p = 5 a solution to the equation 1 + p/3 = 2?
Is p = 5 a solution to the equation 1 + p/3 = 2?
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Is n = 14 a solution to the equation -1 + n/2 = 6?
Is n = 14 a solution to the equation -1 + n/2 = 6?
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Is m = 8 a solution to the equation 58 = 2 + 7m?
Is m = 8 a solution to the equation 58 = 2 + 7m?
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Is x = 7 a solution to the equation -56 = 7(-1 + x)?
Is x = 7 a solution to the equation -56 = 7(-1 + x)?
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Is k = 3 a solution to the equation -3 - 8k = -27?
Is k = 3 a solution to the equation -3 - 8k = -27?
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Is x = 16 a solution to the equation 8x - 8 = -64?
Is x = 16 a solution to the equation 8x - 8 = -64?
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Is h = 11 a solution to the equation -18 = - h - 7?
Is h = 11 a solution to the equation -18 = - h - 7?
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Is f = 22 a solution to the equation -3 = -4 + 4/6f?
Is f = 22 a solution to the equation -3 = -4 + 4/6f?
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Solve the equation 8 = 3x - 5 - 4. Show all your steps.
Solve the equation 8 = 3x - 5 - 4. Show all your steps.
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Solve the equation 6m + 2 - 4m = 10. Show all your steps.
Solve the equation 6m + 2 - 4m = 10. Show all your steps.
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Solve the equation 8 = 6k - 2(k + 4). Show all steps.
Solve the equation 8 = 6k - 2(k + 4). Show all steps.
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Solve the equation 210 - 2(h) = -20. Show all steps.
Solve the equation 210 - 2(h) = -20. Show all steps.
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A triangle has side lengths 12 feet, x + 2 feet, and 2x + 2 feet. The perimeter of the triangle is 46 feet. Write and solve an equation to find the value of x. Show your work.
A triangle has side lengths 12 feet, x + 2 feet, and 2x + 2 feet. The perimeter of the triangle is 46 feet. Write and solve an equation to find the value of x. Show your work.
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A square has a side length of 5x + 2 yards. The perimeter of the square is 44 square yards. Write and solve an equation to find the value of x. Show your work.
A square has a side length of 5x + 2 yards. The perimeter of the square is 44 square yards. Write and solve an equation to find the value of x. Show your work.
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Study Notes
Integer Expressions and Equations
- Classify integer expressions as sum, difference, product, quotient, or power.
- Simplify integer expressions. Ex: Simplify -5 + (-2) = -7
- Translate real-world problems into integer expressions. Ex: Temperature on Sunday: 35°F. On Monday it is 20°F warmer: 35 + 20= 55°F.
Simplify Integer Expressions
- Combine like terms to simplify expressions and then solve the equations.
- Apply the distributive property to simplify integer expressions.
- Solve one-step equations and justify each step. Ex: Solve p-10=-15. p = -15 +10 = -5.
- Verify solutions by substituting the solution into the original equation.
Classifying Variable Expressions
- Classify variable expressions as a sum, difference, product, quotient, or power.
- Evaluate variable expressions when given different values of the variable.
Solving One-Step Equations
- Solve equations using the Properties of Equality. Ex: -7d = 70. d= -10.
- Justify each step when solving equations. Ex: -7d = 70. / -7 d= -10. (Divide both sides by -7).
- Check solutions for accuracy.
Creating Expressions
- Create variable expressions that match given criteria.
- Create variable expressions for real-world problems.
Graphing Points
- Label points on a coordinate plane (x, y).
- Plot points from given coordinates.
Variable Expressions and Real-World Problems
- Create expressions to represent real-world scenarios. Ex: Cost to bowl = 4 + 2g where g is the number of games played.
- Analyze variable expressions in context.
Solving Equations and Checking Solutions
- Use the correct order of operations when evaluating or solving.
Solving Multi-Step Equations
- Distribute and solve: Ex: Solve 6m+2 – 4m = 10
- Identify and combine like terms: Ex: 2m + 2= 10
- Solve for the variable: 2m =8, m=4
Determine if a Given Value is a Solution
- Determine if the given value satisfies the equation
Geometry Problems
- Find the perimeter of a triangle from given side lengths, and solve for unknowns.
- Find the area and perimeter of a rectangle with given variables.
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Description
Test your understanding of integer expressions, equations, and their simplifications with this comprehensive quiz. You'll classify expressions, solve one-step equations, and apply the distributive property to enhance your mathematical skills. Perfect for students looking to solidify their knowledge in this area.
