Textbook Pages 143 & 144 # 1-16 (Word Problems)
Problem 1 Create the equation. Step 1: You know what number goes on the right side of the equals sign. Write: = 92 Step 2: Choose a letter for the unknown number. n Step 3: Multiply 4 times the unknown. 4n Step 4: Complete the equation. 4n = 92 Step 5: Solve and check the equation.
Problem 1 Equation: 4n = 92 Answer: n = 23
Problem 10 Create the equation. Follow Steps 1-5.
Problem 10 Equation: n + n - 6 = 38 Answer: n = 22; n - 6 = 16
Problem 11 Create the equation. Follow Steps 1-5.
Problem 11 Equation: x + 2x = 27 Answer: x = 9 (brother); 2x = 18 (Adam)
Problem 12 Create the equation. Follow Steps 1-5.
Problem 12 Equation: 5n - 12 = 108 Answer: n = 24
Problem 13 Create the equation. Follow Steps 1-5.
Problem 13 Equation: x + x - 3 = 27 Answer: x = 15 (Juan); x - 3 = 12 (Maria)
Problem 14 Create the equation. Follow Steps 1-5
Problem 14 Equation: x + x + 7 = 33 Answer: x = 13 (Jordan); x + 7 = 20 (Alex)
Problem 15 Create the equation. Follow Steps 1-5. NOTE: When solving, eliminate the fraction using the method on page 136.
Problem 15 Equation: x + 2/3x = 45 Answer: x = 27 (cousin); 2/3x = 18 (Taylor)
Problem 16 Create the equation. Follow Steps 1-5
Problem 16 Equation: x + 2x + 2 = 17 Answer: x = 5 (Mary Jane); 2x + 2 = 12 (Keira Anne)
Problem 2 Create the equation. Follow the same steps for Problem 1.
Problem 2 Equation 7n = 266 Answer n = 38
Problem 3 Create the equation. Step 1: You know what number goes on the right side of the equals sign. Write: = 41 Step 2: Choose a letter for the unknown. n Step 3: Sum means to add. Add 15 to the unknown. n + 15 Step 4: Complete the equation. n + 15 = 41 Step 5: Solve and check the equation.
Problem 3 Equation: n + 15 = 41 Answer: n = 26
Problem 4 Create the equation. Follow Steps 1 & 2 from the previous problems. Step 3: Difference means to subtract. Subtract 4 from the unknown. n - 4 Step 4: Complete the equation. n - 4 = 36 Step 5: Solve and check the equation.
Problem 4 Equation: n - 4 = 36 Answer: n = 40
Problem 5 Create the equation. Follow Steps 1 & 2 from the previous problems. Step 3: Sum means to add. Twice a number means to double a number. Double the unknown and add 8. 2n + 8 Follow Steps 4 & 5.
Problem 5 Equation: 2n + 8 = 44 Answer: n = 18
Problem 6 Create the equation. Follow Steps 1 & 2. Step 3: Three less means to subtract 3 from something. Three times a number means to multiply. 3n - 3 Follow Steps 4 & 5.
Problem 6 Equation 3n - 3 = 45 Answer n = 16
Problem 7 Create the equation. Follow Steps 1 & 2. Step 3. Four more means to add. 1/3 of a number means to multiply. 1/3n + 4 -OR- put the n as the numerator n/3 + 4 Follow Steps 4 & 5.
Problem 7 Equation: 1/3n + 4 = 8 - OR - n/3 + 4 = 8 Answer: n = 12
Problem 8 Create the equation Follow Steps 1 & 2. Step 3. Separate the number 24 means that you will add to get to the number 24. So that one number is twice the other number means there are two unknowns: n and 2n. n + 2n Follow Steps 4 & 5.
Problem 8 Equation: n + 2n = 24 Answer: n = 8; 2n = 16
Problem 9 Create the equation. Follow Steps 1 & 2. Step 3. Separate the number 36 means that you will add to get to the number 36. One number is four more than the other number means there are two unknowns: n and n + 4 Follow Steps 4 & 5.
Problem 9 Equation: n + n + 4 = 36 Answer: n = 16; n + 4 = 20