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Linear Equations Introduction
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Linear Equations Introduction
Choose the best answer for each question. Show your thinking where space is provided.
Recognizing Linear Equations
1.Which description best fits a linear equation when its relationship is graphed?
- It forms a straight line.
- It always forms a circle.
- It has no unknown quantities.
- It contains only multiplication.
2.In y = 6x + 4, what number is the coefficient of x?
- y
- 6
- x
- 4
3.In y = 3x + 9, identify the constant term.
- 3
- x
- 9
- y
4.In the equation p = 7q + 2, which symbol is the dependent variable?
- p
- 7
- q
- 2
Equations in Everyday Situations
5.Zoe earns $9 for each hour of yard work. The total pay y after x hours is given by y = 9x. Find the pay for 4 hours.
6.A skating rink charges a $5 entry fee and $8 for each hour rented. Write an equation for total cost y in terms of hours x.
7.For the yard-work equation y = 9x, state what x represents, what 9 represents, and the value of y when x = 0.
8.Match each situation to its equation.
- A delivery service charges $6 plus $3 per mile.
- A club charges $25 for each month, with no starting fee.
- A kayak rental costs $7 per hour, with no starting fee.
- y = 25x
- y = 3x + 6
- y = 7x
9.In your own words, describe what a linear equation can show about how two quantities are related.
10.A streaming service charges $4 each month plus a one-time $12 setup charge. Write an equation for the total cost y after x months.
11.Which statement correctly describes y = 5x + 2?
- The rate of change is 5 and the starting value is 2.
- The rate of change is 2 and the starting value is 5.
- The variables are 5 and 2.
- The equation has no constant term.
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