DIRECTION: Read each item carefully, Choose and write the letter of the correct answer on your answer sheet.
Use a separate sheet of paper for your solution
1. Which of the following is an equation?
1. 10 + 9
b. 0.540.2 0.4 +0.3
c. 25 x 5 + 6
d. (8 + 9) x 15
2. Translate twelve more than thrice a number to an algebraic expression
a. 3n+ 12
b 3+ 12
c. 12 +3
d. 12 x 3n
3. Translate x – 3y into mathematical statement
attrice y minus x
ctrice y increased by x
b. three times y less than x
d. x diminished by thrice y
4. It is a letter used to represent a value that can change.
a constant b. variable e numerical expression d algebraic expression
5. Express this statement into algebraic expression. Twice Mako’s age, increased by 5 is 17.
a. 2m + 5 – 17 d. 2m – 5 = 17 c. 17 – 2 + $
d. 2m5-17
6. Mrs. Quinny buys 10 oranges for P15.00 each and 12 apples for P 20.00 each. She gives the cashier
P500.00 bil. Write an equation for the amount of change the cashier should give to her.
a. 500 – (10m+ 12n) – P
€ 500 + 10m + 12n-p
b. (10m+12n) – 500 =p
d. 500 – (10m-12n) – P
7. Find the value of n in an algebraic expression &nx 3 120
6.3
c. 4
d. 5
a 2
a. 10
c. 12
2.2
0.4
8. Solve for x: 5x + 15 75
b. 11
d. 13
9. What is the value of x in the equation 3x-2-3x + 4?
b.3
d. 3
10. Choose the correct word problem that you can create that can be solved the equation: 45+ 80.
r. There were 80 kids in the party, 45 ate cake. The rest ate ice cream. How many kids ate cake?
b. There were 80 kids in the party. 45 ste ice cream. The rest ate cake. How many kids ate ice cream
a. There were 80 kids in the party. 45 ate cake. The rost ate ice cream. How many kids ate ice creara?
d. There were 80 kids in the party, 45 ate ice cream. The rest ate eide How many kids were there in
all?
Answer:
PROBLEM:
Daniel is 4 years older than mark and rick is half of mark’s age. How old are they if the sum of thier ages is 124?
SOLUTION:
Let’s write the word problem as algebraic equation. Let the age of Mark be our independent variable, x.
THEIR AGES:
Mark – x
Daniel – x + 4
Rick – ½ x
\large \rm (x )+( x + 4 )+ (\frac{1}{2} x) = 124(x)+(x+4)+(
2
1
x)=124
Let’s solve for the value of x. Perform the process of subtraction property of equality (transposition).
\large \rm x + x + 4 + \frac{1}{2} x = 124x+x+4+
2
1
x=124
\large \rm 2x+ \frac{1}{2} x = 124 – 42x+
2
1
x=124−4
\large \rm 2x+ \frac{1}{2} x = 1202x+
2
1
x=120
\large \rm \frac{4}{2}x + \frac{1}{2} x = 120
2
4
x+
2
1
x=120
\large \rm \frac{5}{2}x = 120
2
5
x=120
\large \rm 5x = 2(120)5x=2(120)
\large \rm 5x = 2405x=240
\large \rm x = 240 \div 5x=240÷5
\large \rm x = 48x=48
THEIR ACTUAL AGES:
Mark – x = 48
Daniel – x + 4 = 48 + 4 = 52
Rick – ½ x = 48 ÷ 2 = 24
ANSWER:
Mark’s age is 48. Daniel, on the other hand, is 52 years old while Rick is 24 years old.
Step-by-step explanation:
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