Please wait while we process your payment
If you don't see it, please check your spam folder. Sometimes it can end up there.
If you don't see it, please check your spam folder. Sometimes it can end up there.
Please wait while we process your payment
By signing up you agree to our terms and privacy policy.
Don’t have an account? Subscribe now
Create Your Account
Sign up for your FREE 7-day trial
By signing up you agree to our terms and privacy policy.
Already have an account? Log in
Your Email
Choose Your Plan
Individual
Group Discount
Save over 50% with a SparkNotes PLUS Annual Plan!
Purchasing SparkNotes PLUS for a group?
Get Annual Plans at a discount when you buy 2 or more!
Price
$24.99 $18.74 /subscription + tax
Subtotal $37.48 + tax
Save 25% on 2-49 accounts
Save 30% on 50-99 accounts
Want 100 or more? Contact us for a customized plan.
Your Plan
Payment Details
Payment Summary
SparkNotes Plus
You'll be billed after your free trial ends.
7-Day Free Trial
Not Applicable
Renews May 8, 2025 May 1, 2025
Discounts (applied to next billing)
DUE NOW
US $0.00
SNPLUSROCKS20 | 20% Discount
This is not a valid promo code.
Discount Code (one code per order)
SparkNotes PLUS Annual Plan - Group Discount
Qty: 00
SparkNotes Plus subscription is $4.99/month or $24.99/year as selected above. The free trial period is the first 7 days of your subscription. TO CANCEL YOUR SUBSCRIPTION AND AVOID BEING CHARGED, YOU MUST CANCEL BEFORE THE END OF THE FREE TRIAL PERIOD. You may cancel your subscription on your Subscription and Billing page or contact Customer Support at custserv@bn.com. Your subscription will continue automatically once the free trial period is over. Free trial is available to new customers only.
Choose Your Plan
This site is protected by reCAPTCHA and the Google Privacy Policy and Terms of Service apply.
For the next 7 days, you'll have access to awesome PLUS stuff like AP English test prep, No Fear Shakespeare translations and audio, a note-taking tool, personalized dashboard, & much more!
You’ve successfully purchased a group discount. Your group members can use the joining link below to redeem their group membership. You'll also receive an email with the link.
Members will be prompted to log in or create an account to redeem their group membership.
Thanks for creating a SparkNotes account! Continue to start your free trial.
We're sorry, we could not create your account. SparkNotes PLUS is not available in your country. See what countries we’re in.
There was an error creating your account. Please check your payment details and try again.
Please wait while we process your payment
Your PLUS subscription has expired
Please wait while we process your payment
Please wait while we process your payment
Simplifying Expressions
A term is the product of a number and one or more variables. A term may also be a single number, with no variable.
The expression 14 + 3y2 - 15zp has three terms: 14, 3y2, and -15zp.
The expression 7z + 12 + 2 + z has four terms: 7z, 12, 2, z.
The coefficient is the number that is multiplied by the variable(s) in a single term. In the expression 14 + 3y2 - 15zp, y2 has a coefficient of 3 and zp has a coefficient of -15. A term with no coefficient, like z, has an implied coef ficient of 1.
Terms that do not contain variables are called constants. In the above expressions, 14, 12, and 2 are constants.
Like terms are terms that contain the exact same variables raised to the same exponents. For example, 15yz and 22yz are like terms, but 15yz2 and 22yz are not. Likewise, 12w2yz and -5w2yz are like terms, but 12w2yz and -5w2z are not. 12 and -6 are like terms, because they are both constant terms.
To combine like terms, group them together in the equation, putting the terms with the highest exponents on the left. We can do this because addition commutes. Next, group the coefficients of like terms together , all multiplied by the variable(s) in those terms. Finally, add the coefficients of the like terms (or subtract them if they are negative). Here are some examples:
Example 1: Simplify 4y + 15 - 2y + 5y2 + 12 - 6.
When we combine like terms, we convert the expression to simplified form. The expression is simplified form is equivalent to the original expression.
Please wait while we process your payment