Lesson 4
5x - 2 = 8
x = 2
Write as an expression: Five more than four times a number
4x + 5
What type of solution has the same coefficients and different constants?
No solution
Shaun skateboards at a constant speed from his house to school 3.8 miles away. It takes him 18 minutes. What fraction represents his constant speed, C?
3.8 / 18 = C
x + 4 + 3x = 72
x = 17
Write as an equation: sixteen less than eight times a number is fifty-six.
8x - 16 = 56
10x - 4 = -4 + 10x
Infinite Solutions
Lilli drives from school to volleyball practice 1.3 miles away. It takes her 7 minutes. What fraction represents her constant speed, C?
1.3 / 7 = C
x + 3 + x - 8 + x = 55
x = 20
Write as an equation: The measure of one angle is described as twelve more than four times a number. Its supplement is twice as large.
4x + 12 + 2(4x +12) = 180
4x + 12 + 8x + 24 = 180
3(x - 14) + 1 = -4x + 5
One Solution
Aidan drives home from basketball practice 1.3 miles away. What fraction represents her constant speed, C, if it takes her x minutes to drive exactly 1 mile?
1 / x = C
2x-3-8x = 14+2x-1
x = -4
Write as an equation: One angle is one less than six times the measure of another. The two angles are complementary angles.
x + 6x -1 = 90
-3x + 32 - 7x = -2(5x + 10)
No Solution
Input: 3.5
Linear Equation: y = 50x + 15
What is the output?
190
What is a linear equation?
An equation between two variables that creates a straight line when plotted on a graph.
Write & SOLVE the equation: The measure of one angle is thirteen less than five times the measure of another angle. The sum of the measures of the two angles is 140.
x + 5x - 13 = 140
x = 25.5
Write an equation with one solution.
Answers will vary. Show your answer to Ms. Phillips.
Write one of the equations that represent distance, rate, and time that we've used in lesson 10.
Answers will vary. Show your answer to Ms. Phillips.