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EXAMPLE 1. Solving Equations Using Algebra Tiles. Use algebra tiles to solve x + 2 = 4 . EXAMPLE 1. Solving Equations Using Algebra Tiles. Use algebra tiles to solve x + 2 = 4 . Step 1 Represent the equation using algebra tiles. EXAMPLE 1. Solving Equations Using Algebra Tiles.
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EXAMPLE 1 Solving Equations Using Algebra Tiles Use algebra tiles to solve x+ 2 = 4.
EXAMPLE 1 Solving Equations Using Algebra Tiles Use algebra tiles to solve x+ 2 = 4. Step 1 Represent the equation using algebra tiles.
EXAMPLE 1 Solving Equations Using Algebra Tiles Use algebra tiles to solve x+ 2 = 4. Step 1 Represent the equation using algebra tiles. Step 2Take away two 1-tiles from each side.
EXAMPLE 1 Solving Equations Using Algebra Tiles Step 3 The remaining tiles show that the value of x is 2.
EXAMPLE 1 Solving Equations Using Algebra Tiles Step 3 The remaining tiles show that the value of x is 2. ANSWER The solution is 2.
for Example 1 GUIDED PRACTICE Use algebra tiles to solve the equation.
for Example 1 GUIDED PRACTICE Use algebra tiles to solve the equation. 1. x + 1 = 5
for Example 1 GUIDED PRACTICE Use algebra tiles to solve the equation. 1. x + 1 = 5 ANSWER 4
for Example 1 GUIDED PRACTICE 2. x + 3 = 9
for Example 1 GUIDED PRACTICE 2. x + 3 = 9 ANSWER 6
for Example 1 GUIDED PRACTICE 3. 4+ x = 4
for Example 1 GUIDED PRACTICE 3. 4+ x = 4 ANSWER 0
for Example 1 GUIDED PRACTICE 4. 8 = 7 + x
for Example 1 GUIDED PRACTICE 4. 8 = 7 + x ANSWER 1
EXAMPLE 2 Solving an Addition Equation Solve the equation y + 25 = 140.
EXAMPLE 2 Solving an Addition Equation Solve the equation y + 25 = 140. = y + 25 140 Write the original equation. – 25 – 25 Subtract 25 from each side. . y = 115 Simplify.
? = EXAMPLE 2 Solving an Addition Equation Solve the equation y + 25 = 140. = y + 25 140 Write the original equation. – 25 – 25 Subtract 25 from each side. . y = 115 Simplify. Check y + 25 = 140 Write the original equation. 115 + 25 140 Substitute 115 for y. 140 = 140 Solution checks.
EXAMPLE 3 Using an Addition Equation Shopping You buy an outfit at a vintage shop that costs $17.45. You pay with a $20 bill. What is the amount of change cthat the clerk should give you?
EXAMPLE 3 Using an Addition Equation Shopping You buy an outfit at a vintage shop that costs $17.45. You pay with a $20 bill. What is the amount of change cthat the clerk should give you? SOLUTION Cost +Change Amount paid = Write a verbal model. 17.45 + c = 20.00 Write an equation. – 17.45 – 17.45 = Subtract 17.45 from each side. . c 2.55 = Simplify.
EXAMPLE 3 Using an Addition Equation Shopping You buy an outfit at a vintage shop that costs $17.45. You pay with a $20 bill. What is the amount of change cthat the clerk should give you? SOLUTION Cost +Change Amount paid = Write a verbal model. 17.45 + c = 20.00 Write an equation. – 17.45 – 17.45 = Subtract 17.45 from each side. . c 2.55 = Simplify. ANSWER The clerk should give you $2.55 in change.
for Examples 2 and 3 GUIDED PRACTICE Solve the equation. Then check the solution.
for Examples 2 and 3 GUIDED PRACTICE Solve the equation. Then check the solution. 5. p + 24 = 88
for Examples 2 and 3 GUIDED PRACTICE Solve the equation. Then check the solution. 5. p + 24 = 88 ANSWER 64
for Examples 2 and 3 GUIDED PRACTICE 6. 15 + q = 105
for Examples 2 and 3 GUIDED PRACTICE 6. 15 + q = 105 ANSWER 90
for Examples 2 and 3 GUIDED PRACTICE 7. 76 = r + 39
for Examples 2 and 3 GUIDED PRACTICE 7. 76 = r + 39 ANSWER 37
for Examples 2 and 3 GUIDED PRACTICE 8. s + 2.5 = 10.7
for Examples 2 and 3 GUIDED PRACTICE 8. s + 2.5 = 10.7 ANSWER 8.2
for Examples 2 and 3 GUIDED PRACTICE 9. 8.35 + t = 10.55
for Examples 2 and 3 GUIDED PRACTICE 9. 8.35 + t = 10.55 ANSWER 2.20
for Examples 2 and 3 GUIDED PRACTICE 10. u + 1.85 = 50
for Examples 2 and 3 GUIDED PRACTICE 10. u + 1.85 = 50 ANSWER 48.15
for Examples 2 and 3 GUIDED PRACTICE Suppose the total cost in Example 3 is $23.65, and you give the clerk $25. How much change should you receive? What If? 11. ANSWER $1.35
