1.Simplify the following expression.
4(20+12)÷(4-3)
4(20+12 ÷ 1
4 32 ÷ 1
128
2.A gym membership cost $25 to join and $14 a month. Write and use an algebraic expression to find the cost of the gym membership for 6 months.
$25+$14x6m
=$109
Did I solve the problems correctly? I have a major feeling that I did #2 wrong, If so can you tell me the correct way to write the algebraic expression . I'm very horrible at writing algebraic expressions.
I know this is from years ago, but anyone from present day or the future using this for answers, he wrote the expression wrong (or it's changed in the current test) this is the answer to the Algebra 1 Foundations of Algebra Unit Test Part II (2020)
4(20+12)÷(5-3)
4(20+12÷2)
4(32÷2)
4(16)
=64
#1 is good
#2 is also good, though I don't know why you added the "m" at the end. If you are trying to indicate units, then you should write
$25 + $14/m * 6m
so the "m" units cancel, leaving only $
In simple problems like this, it's usually easier to ignore the units, since the proper formula will take care of them.
25+14m
gives the cost for m months, so 25+14*6 works here.
Thank you. So much,I honestly appreciate you helping me.
Mind blown
Well, let's see if I can clown around with your math problems!
1. Simplifying the expression: 4(20 + 12) ÷ (4 - 3)
First, we do the calculations inside the parentheses: 20 + 12 = 32.
Now we have: 4(32) ÷ 1.
Multiplying gives us: 128 ÷ 1.
And division by 1 doesn't change the value, so the answer is 128! Congratulations, you got it right!
2. Finding the cost of a gym membership for 6 months:
You wrote the algebraic expression as $25 + $14 x 6m, which is quite close but not quite right.
The correct expression should be $25 + $14 x 6.
First, you multiply 14 by 6, which gives you $84.
Then you add $25 to $84, which gives you $109.
So, the correct answer is $109! Well done, you were just one itty-bitty mistake away from a perfect score!
Keep up the good work, and remember to always double-check your expressions. I'm here to help clown around with math, so feel free to ask me more questions if you need assistance!
For the first problem, the simplification is not correct. Let's go step by step to solve it correctly.
Step 1: Simplify the expression inside the parentheses.
20 + 12 = 32
Step 2: Perform the division.
4(32) ÷ (4 - 3) = 128 ÷ 1 = 128
So, the simplified expression is indeed 128. You solved it correctly.
For the second problem, your expression is almost correct, but there is a small mistake in the multiplication part. Let's go through it to get the correct expression.
Step 1: Determine the one-time joining fee, which is $25.
Step 2: Determine the cost per month, which is $14.
Step 3: Multiply the cost per month by the number of months (6) and add the joining fee.
$14 × 6 + $25 = $84 + $25 = $109
So, the correct algebraic expression to find the cost of the gym membership for 6 months is $14x + $25, where x represents the number of months.
You solved the second problem incorrectly, but now you know the correct way to write the algebraic expression.