Algebra Class Exercises 3.3

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Questions and Answers

Match the following equations with their solutions:

m + 6 = -4 = m = -10 a - 6 = 13 = a = 19 x + 4 = -14 = x = -18 g - 9 = -19 = g = -10

Match the following operations with their inverses:

Addition = Subtraction Multiplication = Division Exponentiation = Logarithm Squaring = Square root

Match the following expressions with their errors:

x + 8 = 10 = x = 18 9 + (-3) = = 6 9 + (-9) = = 0 4 + (-1) = = 3

Match the word sentences with their corresponding equations:

4 less than a number n is -15 = n - 4 = -15 10 more than a number c is 3 = c + 10 = 3 The sum of a number y and -3 is -8 = y - 3 = -8 The difference between a number p and 6 is -14 = p - 6 = -14 Signup and view all the answers

Match the following equations that do not belong with the others:

x + 3 = -1 = Linear equation x + 1 = -5 = Linear equation x - 2 = -6 = Linear equation x - 9 = -13 = Quadratic equation Signup and view all the answers

Match the following equations with their types:

x + 3 = -5 = Linear c - 10 = 0 = Linear y^2 + 4y = 0 = Quadratic z + 2z - 6 = 0 = Linear Signup and view all the answers

Match the following scenarios with the mathematical operations needed to solve them:

Dry Ice Temperature = Addition Company Profit Last Year = Subtraction Helicopter Elevation = Addition Statue of Liberty Height = Subtraction Signup and view all the answers

Match the following algebraic solutions with their corresponding problems:

−3 = z - 8 = Find z −14 = k + 6 = Find k 9 - 3 = x = Find x −10.1 = w + 5.3 = Find w Signup and view all the answers

Match the following operations with their results:

9 + (-3) = 6 3 + (-9) = -6 4 + (-1) = 3 5 + (-5) = 0 Signup and view all the answers

Match the following perimeter problems with their corresponding values:

Perimeter = 12 cm = 3 cm Perimeter = 24.2 in. = 8.3 in. Perimeter = 34.6 ft = 5.2 ft Signup and view all the answers

Match the following measurements with their corresponding value adjustments:

Dry Ice Temperature = $-109.3°F Profit Increase = $2.54 million Helicopter to Submarine Elevation Difference = 18 meters First Jump Height = $305 ft Signup and view all the answers

Match the following temperature and height problems with their unknowns:

Outside Temperature Calculation = Outside Temperature Profit Last Year Calculation = Last Year's Profit Helicopter Elevation Calculation = Helicopter Elevation Height of Statue Calculation = Statue Height Signup and view all the answers

Match the following height and temperature expressions with their correct formulations:

Outside Temperature = Dry Ice + 184.9 = $-109.3 + 184.9$ Last Year's Profit = Current Profit - Increase = $1.38 million - $2.54 million Helicopter Elevation = Submarine Elevation + 18 = $-7 + 18$ Statue Height = Total Height - Pedestal Height = $153 - Pedestal Height Signup and view all the answers

Match the following equations with their scenario descriptions:

x - $2.54 million = 1.38 = Profit Calculation -7 + 18 = x = Helicopter Elevation x + y = 153 = Statue of Liberty Height 184.9 + x = -109.3 = Outside Temperature Signup and view all the answers

Match each scenario with its respective number:

Dry Ice Temperature = $-109.3°F Profit = $1.38 million Helicopter Elevation = $-7$ meters Height of Statue = Unknown Signup and view all the answers

Match the following increment and decrement operations with their context:

First Jump to Second Jump Difference = Addition Company Profit Change = Increase Dry Ice Temperature Reference Adjustment = Decrease Helicopter to Submarine Elevation = Subtraction Signup and view all the answers

Match the distance with the correct bus travel scenario:

Bus travels from Stanton to Boatesville = 24 kilometers Bus travels from Boatesville to Stanton = 65 kilometers Total distance between Stanton and Boatesville = 89 kilometers Distance remaining after first leg of the journey = 41 kilometers Signup and view all the answers

Match the geometric property with its value:

Sum of angles in a triangle = 180 degrees Measure of the first angle = 30.3 degrees Measure of the second angle = 40.8 degrees Missing angle = 109.9 degrees Signup and view all the answers

Match the skateboard score with the corresponding round:

Round 1 = 63.43 points Round 2 = 87.15 points Round 3 = 81.96 points Round 4 = Score needed to win Signup and view all the answers

Match the mathematical expression with its operation:

−7 × 8 = −56 6 × (−12) = −72 18 ÷ (−2) = −9 −26 ÷ 4 = −6.5 Signup and view all the answers

Match the absolute value equation with its solution:

|x|=2 = x=2 or x=−2 |x|−2=4 = x=6 or x=−6 |x| + 5=18 = x=13 or x=−13 x + 6 = 2 = x=−4 Signup and view all the answers

Match the fraction with its total count of students:

Three-fourths of 144 students = 108 students Female students who voted for you = 49 students Total students in the class = 144 students Students who did not vote = 36 students Signup and view all the answers

Match the second jump height to its value:

First jump height = $5$ m Second jump height = $3$ m Third jump height = $7$ m Fourth jump height = $4$ m Signup and view all the answers

Match the critical thinking problem with its equation:

Find the value of 2x−1 when x + 6 = 2 = x=−4 ∣x∣=2 = x=2 or x=−2 ∣x∣−2=4 = x=6 or x=−6 ∣x∣ + 5 = 18 = x=13 or x=−13 Signup and view all the answers

Flashcards

Solving equations: Addition

To isolate the variable in an equation with addition, use the inverse operation (subtraction).

Inverse operations

Inverse operations are operations that undo each other. Addition and subtraction are inverse operations. Multiplication and division are inverse operations.